2017
Том 69
№ 9

All Issues

Invariant Submanifolds of Trans-Sasakian Manifolds

Anitha B. S., Bagewadi C. S.


Abstract

We prove the equivalence of total geodesicity, recurrence, birecurrence, generalized birecurrence, Riccigeneralized birecurrence, parallelism, biparallelism, pseudoparallelism, bipseudoparallelism of σσ for the invariant submanifold $M$ of the trans-Sasakian manifold $\tilde{M}$.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1469-1483.

Citation Example: Anitha B. S., Bagewadi C. S. Invariant Submanifolds of Trans-Sasakian Manifolds // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1309-1320.