Non-existence of non-trivial generic warped product in Kaehler manifolds


Warped product manifolds provide excellent setting to model space time near black holes or bodies with large gravitational force [7]. Recently there have been studies to explore the existence, of warped products in certain settings [5], [9]. To continue the sequel, non existence of generic warped product submanifolds in a Kaehler manifold is established extending the results of B. Y. Chen [5] and B. Sahin [9].

DOI Code: 10.1285/i15900932v28n2p63

Keywords: Generic Submanifold; purely real; totally real and holomorphic distributions; slant submanifold; warped product submanifold

Classification: 53C40; 53C42; 53C15

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