- Turkish Journal of Mathematics
- Vol: 39 Issue: 4
- Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold
Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold
Authors : Hakan Mete Taştan
Pages : 453-466
Doi:10.3906/mat-1503-56
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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