Geodesic
On $K$-contact Einstein manifolds
Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1.

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The object of the present paper is to characterize $K$-contact Einstein manifolds satisfying the curvature condition $R\cdot C=Q(S,C),$ where $C$ is the conformal curvature tensor and $R$ the Riemannian curvature tensor. Next we study $K$-contact Einstein manifolds satisfying the curvature conditions $C\cdot S=0$ and $S\cdot C=0$, where $S$ is the Ricci tensor. Finally, we consider $K$-contact Einstein manifolds satisfying the curvature condition $Z\cdot C=0$, where $Z$ is the concircular curvature tensor.
Publié le :
DOI : 10.30755/NSJOM.02455
Classification : 53C15, 54D55
Keywords: $K$-contact manifold, Einstein manifold, $K$-contact Einstein manifold, conformal curvature tensor, concircular curvature tensor 
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     author = {U.C. De and Krishanu Mandal},
     title = {On $K$-contact {Einstein} manifolds},
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     pages = {105 - 114},
     publisher = {mathdoc},
     volume = {46},
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     year = {2016},
     doi = {10.30755/NSJOM.02455},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02455/}
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U.C. De; Krishanu Mandal. On $K$-contact Einstein manifolds. Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1. doi : 10.30755/NSJOM.02455. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02455/

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