Bayram Sahin: Warped product semi-invariant submanifolds of a locally Product Riemannian manifold, p.383-394

Abstract:

In this paper, we study warped product semi-invariant submanifolds of a locally product Riemannian manifold. We show that the geometry of such warped products is quiet different from the geometry of warped product CR-submanifolds of Kaehler manifolds. We give a characterization, some examples and establish an inequality for warped product semi-invariant submanifolds. The equality case is also considered.

Key Words: Almost product Riemannian manifold, semi-invariant submanifold, warped product.

2000 Mathematics Subject Classification: Primary: 53C40,
Secondary 53C42, 53C15.

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