The object of the present paper is to study some geometric conditions for an invariant submanifold of an LP-Sasakian manifold to be totally geodesic. Further we consider concircular curvature tensor satisfying some geometric conditions of an invariant submanifold of an LP-Sasakian manifold to be totally geodesic. In extension, we build an example of LP-Sasakian manifold to verify our main result totally geodesic.
Venkatesha, V., & Basavarajappa, S. (2020). Invariant Submanifolds of LP-Sasakian Manifolds. Khayyam Journal of Mathematics, 6(1), 16-26. doi: 10.22034/kjm.2019.97091
MLA
Venkatesha Venkatesha; Shanmukha Basavarajappa. "Invariant Submanifolds of LP-Sasakian Manifolds". Khayyam Journal of Mathematics, 6, 1, 2020, 16-26. doi: 10.22034/kjm.2019.97091
HARVARD
Venkatesha, V., Basavarajappa, S. (2020). 'Invariant Submanifolds of LP-Sasakian Manifolds', Khayyam Journal of Mathematics, 6(1), pp. 16-26. doi: 10.22034/kjm.2019.97091
VANCOUVER
Venkatesha, V., Basavarajappa, S. Invariant Submanifolds of LP-Sasakian Manifolds. Khayyam Journal of Mathematics, 2020; 6(1): 16-26. doi: 10.22034/kjm.2019.97091