Geometry of bi-warped product submanifolds of locally product Riemannian manifolds

Multiply Warped Product Generalized Semi-Invariant Submanifolds

“…Proof. The proofs are very similar to the proofs of Lemmas 1, 2 and 3 of [22] and Lemma 5.3 of [13].…”

B.-Y. Chen’s inequality for pointwise CR-slant warped products in cosymplectic manifolds

“…He proved several fundamental results on the existence of CR-warped products in Kaehler manifolds. Later on, the geometric aspects of these manifolds have been studied by many researchers (see, for example, [12], [13], [20], [21], [25], [26], [27], [28], [30], [31], [36], [37], [38] and the reference therein). Specially, Sahin studied nonexistence of warped product semislant submanifolds in Kaehler manifolds [23], while he proved in [24] some results on warped product pointwise semi-slant submanifolds of Kaehler manifolds.…”