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ON φ-RECURRENT (k, μ)-CONTACT METRIC MANIFOLDS
전재복,Ahmet Yildiz,Uday Chand De 대한수학회 2008 대한수학회보 Vol.45 No.4
In this paper we prove that a φ-recurrent (k, μ)-contact metricmanifold is an η-Einstein manifold with constant coefficients. Next, weprove that a three-dimensional locally φ-recurrent (k, μ)-contact metricmanifold is the space of constant curvature. The existence of φ-recurrent(k, μ)-manifold is proved by a non-trivial example
전재복,Mobin Ahmad 대한수학회 2009 대한수학회보 Vol.46 No.5
We define a semi-symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invari-ant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a semi-symmetric metric connection.