Differential Geometry and its Application.
Study of some immersions into space forms, Mathematics Department, Girls College of Education in Jeddah. (2001).
Study of some geometric properties for subsets of manifolds, Mathematics Department, Girls College of Education in Jeddah. (2001).
Study on stability of deformed submanifolds and their geometrical properties, Mathematics Department, Girls College of Science in Dammam. (2001).
On the Curvature Theory of Line Manifolds in Euclidean 2-Space, Mathematics Department, GirlsCollege of Education in Makkah. (2002).
On Infinite dimensional differentiable manifolds of constant curvature of Banach type, Mathematics Department, Girls College of Education in Riyadh. (2002).
Geometry of Slant Submanifolds, Mathematics Department, King Saud University, Riyadh. (2005).
Criterion for a Submanifold of a Euclidean Space to lie on a Hypersphere, Mathematics Department, King Saud University, Riyadh. (2006).
Real Hypersurfaces of a Complex Projective Space, Mathematics Department, King Saud University, Riyadh. (2006).
Jacobi fields and their applications, Mathematics Department, KingSaudUniversity, Riyadh. (2006).
Complete Left-Symmetric Structures on Lie Algebras, Mathematics Department, KingSaudUniversity, Riyadh. (2007).
On the Instantaneous line congruences in Euclidean 3-space , Mathematics Department , Girls College of Education, UmmAl-QuraUniversity. (2008).
Study on infinitesimal rigid motions of Euclidean submanifolds, Mathematics Department, Girls College of Education, RiyadhUniversity for Women. (2008).
Cellular convex folding of compact surfaces, Mathematics Department, Girls College of Education, Prince Nora BintAbdalrahman University - Riyadh. (2009).
A Conformal class of Riemannian metrics, Mathematics Department, Girls College of Education, PrinceNoraBintAbdalrahmanUniversity - Riyadh. (2009).
On the warped product manifolds, Mathematics Department, Faculty of Science, KingAbdulAzizUniversity(2010).
Folding of simplicial complexes, Mathematics Department, Faculty of Applied Science (Girls Section), UmmAl-QuraUniversity (2009).
Geometry of submanifolds of T-manifold, Mathematics Department, Faculty of Science for Girls, KingAbdulAzizUniversity (2011).
Study on developable ruled surfaces in Lorentz's 3-space , Mathematics Department, Faculty of Science, PrinceNoraBintAbdalrahmanUniversity - Riyadh (2012).
On the Retractions of FazzyLobachevsky Space, Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah(2013).
On The Geodesic ray property in Hadamard Manifolds, Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah (2014).
On lightlike manifolds, Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah (2014).
On starshaped sets in Riemannian manifolds, Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah (2014).
Rowland Wilson prize in Pure Mathematics from University of Wales Swansea, UK, 1996.
Falleh R. Al-Solamy and E. J. Beggs, Soliton decay, time delays and breathers in the Chiral equation, Modern Physics Letters A, Vol. 14, Nos. 10&11 (1999), 631- 649.
M. H. Shahid and Falleh R. Al-Solamy, Submersion of Quaternion CR-submanifolds of a Quaternion Kaehler manifold, Math. J. Toyama Univ., Vol. 23 (2000), 93-113.
M. S. Ismail and Falleh R. Al-Solamy, A numerical study Of K(3,2) equation, International Journal of Computer Mathematics, Vol. 76 (2001), 549-560.
Falleh R. Al-Solamy and E. J. Beggs, GeneralisedHopf algebras for solitons, Int. Jour. of Math. and Math. Sci., Vol. 29, No. 12 (2002), 701-718.
Falleh R. Al-Solamy, CR-Submanifolds of a nearly trans-Sasakian manifold, Int. J. Math. Math. Sci., Vol. 31, No. 3 (2002), 167-175.
Falleh R. Al-Solamy,Some results on generic submanifolds of manifolds with generalised 3-Sasakian structure, Tensor, N. S., Vol. 63, No. 3 (2002), 207-215.
Falleh R. Al-Solamy, On the geometry of 3-contact CR-Submanifolds of manifolds with generalised 3-Sasakian structure, Arab J. Math. Sc., Vol. 9, No. 1 (2003), 15-28.
Falleh R. Al-Solamy, On CR-Submanifolds of-Contact space form, Intern. Math. Journal, Vol. 3, No. 11 (2003), 1203-1213.
I. Mihai, F. Al-Solamy and M. H. Shahid, On Ricci Curvature of a quuaternion CR-Submanifold in a quaternion space form, RadoviMatematicki, Vol. 12 (2003), 1-7.
F. R. Al-Solamy, CR-Submanifolds of locally conformal almost cosymplectic manifolds, JP J. Geometry and Topology, Vol. 3, No. 2 (2003), 167-178.
F. R. Al-Solamy, Some results on QR-Submanifolds of a generalised 3-Sasakian manifold, International Journal of Mathematics, Game Theory and Algebra Vol. 13, No. 6 (2003), 437-442.
Reem Al-Ghefari, Falleh R. Al-Solamy and M. H. Shahid, Ricci tensor and scalar curvatures of CR-Submanifolds of-Contact space forms, Thai J. Math. Vol. 2, No. 2 (2004), 227-237.
I. Mihai, M. H. Shahid and Falleh R. Al-Solamy, Ricci Curvature of a contact CR-Submanifold in a generalized Sasakian space form, Review Bull. Cal. Math. Soc. Vol. 13, No. (1&2) (2005), 89-94
Reem Al-Ghefari, M. H. Shahid and Falleh R. Al-Solamy, Submersion of CR-Submanifolds of Locally Conformal Kaehler manifold, Contributions to Algebra and Geometry Vol. 47, No. 1 (2006), 147-159.
Reem Al-Ghefari, Falleh R. Al-Solamy and M. H. Shahid, CR-Submanifolds of Generalized Sasakian space forms, JP J. Geometry and Topology Vol. 6, No. 2 (2006), 151-166.
Reem Al-Ghefari, Falleh R. Al-Solamy and M. H. Shahid, Contact CR-warped Product Submanifolds in Generalized Sasakian Space Forms, Balkan Journal of Geometry and Its Applications Vol. 11, No. 2 (2006), 1-10.
Falleh R. Al-Solamy, Contact CR-warped Product Submanifolds in Almost-Manifolds with Constant -Sectional Curvature, An. Stiint. Univ. “Al.I. Cuza”, Iasi, Tomul LII. S.I, Matematics, 2006, f.2, 423-432.
18- Falleh R. Al-Solamy, Semi-Invariant Product of a Certain class of Almost Contact Manifolds, Int. Math. Forum Vol. 1, No. 16 (2006), 763-768.
Monia F. Naghi, M. H. Shahid and Falleh R. Al-Solamy, Quaternion CR-Submanifold of Locally Conformal Quaternion Kaehler Manifold, Algebras Groups and Geometries Vol. 24, No. 1 (2007), 87-104.
ShariefDeshmukh and Falleh Al-Solamy,A note on minimal hypersurfaces of the unit sphere, International Journal of Pure and Applied Mathematics Vol. 39, No. 1 (2007), 69-73.
ShariefDeshmukh and Falleh Al-Solamy,Hypersurfaces of a Real Space Form, International Journal of Pure and Applied Mathematics Vol. 35, No. 4 (2007), 507-514.
Falleh R. Al-Solamy, Spheres in an Euclidean Space, Int. J. Contemp. Math. Sci. Vol. 2, No. 13 (2007), 607-613.
ShariefDeshmukh and Falleh Al-Solamy,Hopf hypersurfaces in nearly Kaehler 6-sphere,Balkan Journal of Geometry and Its Applications, Vol. 13 (1) (2008), 38-46.
ShariefDeshmukh and Falleh Al-Solamy, Conformal Gradient Vector Fields on a compact Riemannian manifold, Colloquium Mathematicum Vol. 112, No. 1 (2008), 157-161.
Falleh R. Al-Solamy and ViqarAzam Khan, Non-existence of non-trivial generic warped product in Kaehler manifolds, Note di Matematica 28 (2) (2008), 63-68.
Falleh R. Al-Solamy and ViqarAzam Khan, Warped Product Semi-Slant Submanifolds of a Sasakian Manifold, Serdica Mathematical Journal Vol. 34 (3) (2008), 597-606.
Falleh Al-Solamy, Submanifolds of Einstein Manifolds, Far East Journal of Mathematical Sciences 28 (3)(2008), 657 - 666.
Rashad A. Abdel-Baky and Falleh R. Al-Solamy, A new geometrical approach to one-parameter spatial motion, J. Eng. Math. 60 (2) (2008), 149-172.
Falleh Al-Solamy, Hypersurfaces of Einstein Manifolds, JP Journal Geometry and Topology 9 (3) (2009), 239-248.
Nadia S. Al-luhaibi, ViqarAzam Khan and Falleh R. Al-Solamy, CR-Warped Product Submanifolds of Nearly Kaehler Manifold, Journal of the Korean Mathematical Society 46 (5) (2009), 979-995.
Ameera A. Eshan and Falleh R. Al-Solamy, General submanifolds of a Kaehler manifold. International Journal of Pure and Applied Mathematics 51 (2) (2009), 257-275.
Ameera A. Eshan and Falleh R. Al-Solamy, General submanifolds of a Kaehler manifold-II. Far East Journal of Mathematical Sciences 32 (2) (2009), 185-198.
Falleh R. Al-Solamyand Reem Al-Ghefari, Hypersurfaces of a Sasakianmanifol. Far East Journal of Mathematical Sciences 38 (2) (2010), 217-223.
Falleh R. Al-Solamy and ViqarAzam Khan, A note on slant submanifolds of nearly trans-Sasakian manifolds, Mathematica Slovaca 60 (1) (2010), 129-136.
Falleh R. Al-Solamy and Reem Al-Ghefari,Conformal Vector fields on a Kaehler manifold. Differential Geometry - Dynamical Systems 13 (2011), 27-33.
Falleh R. Al-Solamy, Meraj Ali Khan and Siraj Uddin, Totally umbilical hemi-slant submanifolds of Kaehler manifolds. Abstract and Applied Analysis 2011 (2011), 9 Pages.
Falleh R. Al-Solamy, Jeong-Sik Kim and Mukut Mani Tripathi, On-Einstein trans-Sasakian manifolds. ANALELE S_TIINT_IFICE ALE UNIVERSIT_AT_ II AL.I. CUZA" DIN IAS_I (S.N.) MATEMATIC_A, Tomul LVII, 2011, f.2, 417-
M. H. Shahid and F. R. Al-Solamy, Ricci tensor of slant submanifolds in a quaternion projective space,ComptesRendusMathematique 349 (9-10) (2011), 571-573.
Meraj Ali Khan and Falleh R. Al-Solamy, Semi-invariant Warped Product Submanifolds of Almost Contact Manifolds, Journal of Inequalities and Applications 2012, 2012:127 (7 June 2012) doi:10.1186/1029-242X-2012-127
ShariefDeshmukh and Falleh Al-Solamy, Conformal vector fields and conformaltransformations on a Riemannian manifold, Balkan Journal of Geometry and Its Applications 17(1) (2012), 9-16.
Falleh R. Al-Solamy and Meraj Ali Khan, Semi-slant Warped Product Submanifolds of a Kenmotsu Manifold. Mathematical Problems in Engineering, Volume 2012 (2012), Article ID 708191, doi : 10.1155/2012/708191
M. H. Shahid, F. R. Al-Solamy, Jae-Bok Jun and Mobin Ahmed, Submersion of semi-invariant submanifolds of trans-Sasakian manifold, Bull. Malays. Math. Sci. Soc. (2) 36(1) (2013), 63–71.
43. Falleh R. Al-Solamy and Meraj Ali Khan, Pseudo-slant Warped Product Submanifolds of a Kenmotsu Manifold. Mathematica Moravica 17-2 (2013), 51–61.
Absos Ali Shaikh, Falleh R Al-Solamy and Indranil Roy, On the existence of a new class of semi-Riemannian manifolds,Mathematical Sciences 2013, 7:46. doi:10.1186/2251-7456-7-46.
Ramesh Sharma, ShariefDeshmukh and Falleh R. Al-Solamy, Almost contact LagrangianSubmanifolds Of Nearly Kaehler 6-Sphere. Results in Mathematics 65 (1-2) (2014), 143-153.
Falleh R. Al-Solamy, Bang-Yen Chenand ShariefDeshmukh, Two optimal Inequalities for Anti-Holomorphic submanifolds and their Applications, Taiwanese Journal of Mathematics (TJM) 18 (1) (2014), 199-217. DOI: 10.11650/tjm.18.2014.3241
ShariefDeshmukh and Falleh R. Al-Solamy,Conformal Vector Fields on a Riemannian Manifold, Balkan Journal of Geometry and Its Applications, Vol.19, No.2, 2014, 86-93.
ShariefDeshmukh and Falleh R. Al-Solamy,A Note on Conformal Vector Fields on a Riemannian Manifold, Colloq. Math. 136 (2014), 65-73.
Falleh R. Al-Solamy and Meraj Ali Khan, Hemi-slant Warped Product Submanifolds of Nearly Kaehler manifold, Abstract and Applied Analysis, Volume 2014, Article ID 404851, 6 pages, (Link).
Meraj Ali Khan, Izhar Ahmad and Falleh R. Al-Solamy,Geodesic r-preinvex functions on Riemannian manifolds, Journal of Inequalities and Applications 2014,2014:144, (Link).
Falleh R. Al-Solamy and Meraj Ali Khan, Totally umbilical slant submanifolds of Riemannian product manifolds.Dynamics of Continuous, Discrete and Impulsive SystemsSeries A: Mathematical Analysis 21 (5) (2014) 379-386.
Meraj Ali Khan, Falleh R. Al-Solamy,Sufficiency and duality in nondifferentiable minimax fractional programming with (Hp, r)-invexity,Journal of the Egyptian Mathematical Society (2015) 23, 208–213.
Meraj Ali Khan, Falleh R. Al-Solamy and Amira A. Ishan, Totally Umbilical Pseudo-Slant Submainfolds of Riemannian Product Manifold,. Acta Universitatis Apulensis. No. 41/2015, pp. 79-87, doi: 10.17114/j.aua.2015.41.06.
Sharief Deshmukh and Falleh R. Al-Solamy,A Note on Compact Trans-SasakianManifolds. Mediterr. J. Math., DOI 10.1007/s00009-015-0582-7. (2015).
Falleh R. Al-Solamy, Mohammed Jamali, Jae-Bok Jun and Mohammad Hasan Shahid,Pseudo-umbilical spacelike submanifolds of de-Sitter space. Proceedings of the Jangjeon Mathematical Society 18 (3) (2015), 389-402.
Falleh R. Al-Solamy,An inequality for warped product pseudo-slant submanifolds of nearly cosymplectic manifolds.Journal of Inequalities and Applications (2015) 2015:306, DOI 10.1186/s13660-015-0825-y.
Meraj Ali Khan and Falleh R. Al-Solamy, Second order duality for multiobjective optimization problems, J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL. 20, NO.7, 2016
ShariefDeshmukh, Uday Chand De and Falleh R. Al-Solamy, Trans-Sasakian manifolds homothetic to Sasakian manifolds. Publ. Math. Debrecen 88/3-4 (2016), 439-448, DOI: 10.5486/PMD.2016.7398
Meraj Ali Khan and Falleh R. Al-Solamy, Totally umbilical hemi-slant submanifolds of Kenmotsu manifolds. Accepted for publication in Mathematica Moravica.
Sirajuddin and Falleh R. Al-Solamy, Warped product pseudo-slant submanifolds of cosymplectic manifolds. Accepted for publication in Annals of the AlexandruIoanCuza University - Mathematics.
Meraj Ali Khan and Falleh R. Al-Solamy, Application of Hopf’s Lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold.Accepted for publication in Bulletin of the Iranian Mathematical Society.
Siraj Uddin, Falleh R. Al-Solamy and Khalid Ali Khan, Geometry of warped product pseudo-slant submanifolds in nearly Kaehler manifolds. Accepted for publication in Annals of the AlexandruIoanCuza University - Mathematics.
Falleh R. Al-Solamy and Siraj Uddin, An inequality for warped product submanifolds of a locally product Riemannian manifold. Accepted for publication in Hacettepe Journal of Mathematics and Statistics.
Falleh R. Al-Solamy, Meraj Ali Khan and Izhar Ahmad, Duality in multiobjective nonlinear programming under generalized second order (F, b, φ, ρ, θ)− univex functions,Accepted for publication in J. COMPUTATIONAL ANALYSIS AND APPLICATIONS.
Monia F. Naghi, Siraj Uddin and Falleh R. Al-Solamy, Warped product submanifolds of Kenmotsu manifolds with slant fiber,Accepted for publication inFILOMAT.
Siraj Uddin and Falleh R. Al-Solamy, Another proof of the inequality derived for warped product submanifolds of cosymplectic manifolds, Accepted for publication in Journal of Mathematical Analysis.