Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold

Authors

HAKAN METE TAŞTAN

DOI

10.3906/mat-1503-56

Abstract

We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.

Keywords

Locally product manifold, warped product submanifold, skew semi-invariant submanifold, invariant distribution, slant distribution

First Page

453

Last Page

466

Recommended Citation

TAŞTAN, HAKAN METE (2015) "Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold," Turkish Journal of Mathematics: Vol. 39: No. 4, Article 1. https://doi.org/10.3906/mat-1503-56
Available at: https://journals.tubitak.gov.tr/math/vol39/iss4/1