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Sachdeva, Rashmi; Kumar, Rakesh; Bhatia, Satvinder Singh

Nonexistence of totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds. (English) Zbl 1276.53021

ISRN Geom. 2013, Article ID 231869, 8 p. (2013).
Summary: We study totally contact umbilical slant light-like submanifolds of indefinite cosymplectic manifolds. We prove that there do not exist totally contact umbilical proper slant light-like submanifolds in indefinite cosymplectic manifolds other than totally contact geodesic proper slant light-like submanifolds. We also prove that there do not exist totally contact umbilical proper slant light-like submanifolds of indefinite cosymplectic space forms. Finally we give characterization theorems on minimal slant light-like submanifolds.

Cited in 6 Documents

MSC:

53B25 Local submanifolds
53C40 Global submanifolds
53D05 Symplectic manifolds (general theory)

Keywords:

indefinite cosymplectic manifolds; totally contact; umbilical; proper slant; minimal slant light-like submanifolds
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References:

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