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

Authors

  • Falleh R. Al-Solamy
  • Viqar Khan

DOI:

https://doi.org/10.1285/i15900932v28n2p63

Keywords:

Generic Submanifold, purely real, totally real and holomorphic distributions, slant submanifold, warped product submanifold

Abstract

En
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].

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Published

03-03-2010

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Section

Articoli