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: 2016-06-01
Authors : Cumali Yıldırım; Feyza Esra Erdoğan;
Page : 277-289
Keywords : Complex contact metric manifolds invariant submanifolds anti-invariant submanifolds.;
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.
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Last modified: 2016-10-30 05:11:23