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On $bar {G}$-$J$ Anti-invariant Submanifolds of Almost Complex Contact Metric Manifolds

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)

Publication Date:

Authors : ; ;

Page : 277-289

Keywords : Complex contact metric manifolds invariant submanifolds anti-invariant submanifolds.;

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Abstract

In this article we studied anti-invariant submanifolds of almost complex contact metric manifolds. We found a relation between Nijenhuis tensor fields of anti-invariant submanifolds and almost complex contact manifolds. We investigated relations between curvature tensors of these manifolds. Moreover, we studied anti-invariant submanifolds of almost complex contact metric manifolds.Some necessary conditions on which a submanifolds of an almost complex contact metric manifolds is $bar {G}$-$J$ anti-invariant were given. Also we found some characterizations for totally geodesic or umbilical $bar {G}$-$J$ anti-invariant submanifolds of almost complex contact metric manifolds.

Last modified: 2017-01-26 01:24:50