Non-existence of screen homothetic half lightlike submanifolds of an indefinite Kenmotsu manifold

We study screen nomothetic half lightlike submanifolds of indefinite Kenmotsu manifolds. Two natural conditions to impose on this study are that its homothetic factor be either non-zero constant or zero, the latter is equivalent to the screen distribution to be totally geodesic. The purpose of this...

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Published inBalkan journal of geometry and its applications Vol. 18; no. 1; p. 22
Main Author Jin, Dae Ho
Format Journal Article
LanguageEnglish
Published Universitatea Politehnica din Bucuresti, Department of Mathematics 01.01.2013
Subjects
Existence theorems
Manifolds (Mathematics)
South Korea
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ISSN1224-2780

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Summary:We study screen nomothetic half lightlike submanifolds of indefinite Kenmotsu manifolds. Two natural conditions to impose on this study are that its homothetic factor be either non-zero constant or zero, the latter is equivalent to the screen distribution to be totally geodesic. The purpose of this paper is to prove that there do not exist above two types screen homothetic half lightlike submanifolds of indefinite Kenmotsu manifolds subject to the conditions; (1) the co-screen distribution is parallel and (2) the lightlike transversal connection is flat. M.S.C. 2010: 53C25, 53C40, 53C50. Key words: screen homothetic; totally geodesic screen distribution; flat lightlike transversal connection; locally symmetric.
ISSN:1224-2780