On G ̅-J anti-invariant submanifolds of almost complex contact metric manifolds

Year 2016, Volume: 4 Issue: 3, 277 - 289, 30.09.2016

Cumali Yildirim Feyza Esra Erdogan

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 - anti-invariant were given. Also we
found some characterizations for totally geodesic or umbilical - anti-invariant submanifolds of
almost complex contact metric manifolds.

Keywords

Complex contact metric manifolds invariant, submanifolds

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