Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP-Cosymplectic Manifold

Siraj Uddin, Meraj Ali Khan and Khushwant Singh

Mathematical Problems in Engineering, 2011, vol. 2011, 1-9

Abstract:

In the present note, we study slant and hemislant submanifolds of an LP-cosymplectic manifold which are totally umbilical. We prove that every totally umbilical proper slant submanifold ð ‘€ of an LP-cosymplectic manifold ð ‘€ is either totally geodesic or if ð ‘€ is not totally geodesic in ð ‘€ then we derive a formula for slant angle of ð ‘€ . Also, we obtain the integrability conditions of the distributions of a hemi-slant submanifold, and then we give a result on its classification.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:516238

DOI: 10.1155/2011/516238

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