Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
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Authors: I. MIHAI, S. UDDIN AND A. MIHAI
DOI: 10.46793/KgJMat2403.453M
Abstract:
B.-Y. Chen and O. J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. By using the notion of pointwise slant submanifolds, we investigate the geometry of pointwise semi-slant submanifolds and their warped products in Sasakian and cosymplectic manifolds. We prove that there exist no proper pointwise semi-slant warped product submanifold other than contact CR-warped products in Sasakian manifolds. We give non-trivial examples of such submanifolds in cosymplectic manifolds and obtain several fundamental results, including a characterization for warped product pointwise semi-slant submanifolds.
Keywords:
Warped products, pointwise slant submanifolds, pointwise semi-slant submanifolds, Sasakian manifolds, cosymplectic manifold.
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