Dergiler / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 4
Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold
- Sayfa
- 453–466
- DOI
- —
Özet
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.
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.