Geodesic
On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 87-99 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field $\xi $ belonging to the $(k,\mu )^{\prime }$-nullity distribution and $(k,\mu )$-nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$- and $(k,\mu )$-nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$-nullity distribution admitting a semisymmetric metric connection.
We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field $\xi $ belonging to the $(k,\mu )^{\prime }$-nullity distribution and $(k,\mu )$-nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$- and $(k,\mu )$-nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$-nullity distribution admitting a semisymmetric metric connection.
Classification : 53C25, 53C35
Keywords: Semisymmetric metric connection; almost Kenmotsu manifold; Einstein manifold; sectional curvature; Ricci tensor; Weyl conformal curvature tensor 
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     author = {Ghosh, Gopal and De, Uday Chand},
     title = {On a {Semi-symmetric} {Metric} {Connection} in an {Almost} {Kenmotsu} {Manifold} with {Nullity} {Distributions}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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     year = {2016},
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     number = {2},
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Ghosh, Gopal; De, Uday Chand. On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 87-99. http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a7/