Geodesic
On E-Bochner Curvature Tensor of Contact Metric Generalized $(\kappa,\mu)$ Space Forms
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2.

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Here we derive the necessary and sufficient condition for the Sasakian structure corresponding to the contact metric generalized $(\kappa, \mu)$-space forms. Further, we study the contact metric generalized $(\kappa, \mu)$-space forms satisfying $B^e(\xi , X) \cdot \varphi =0,$ $B^e(\xi , X) \cdot h =0,$ and $B^e(\xi,X) \cdot S=0$, where $B^e$ is a E-Bochner curvature tensor, $h:=\frac{1}{2}\pounds _\xi \varphi$ and $S$ is the Ricci tensor.
Publié le :
DOI : 10.30755/NSJOM.09389
Classification : 53D15, 53D10, 53C25, 53C21
Keywords: almost contact metric manifolds, contact metric manifolds, generalized $(\kappa, \mu)$ space forms, E-Bochner curvature tensor 
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     author = {Shruthi Chidananda and Venkatesha Venkatesha},
     title = {On {E-Bochner} {Curvature} {Tensor} of {Contact} {Metric} {Generalized} $(\kappa,\mu)$ {Space} {Forms}},
     journal = {Novi Sad Journal of Mathematics},
     pages = {1 - 11},
     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {2022},
     doi = {10.30755/NSJOM.09389},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09389/}
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Shruthi Chidananda; Venkatesha Venkatesha. On E-Bochner Curvature Tensor of Contact Metric Generalized $(\kappa,\mu)$ Space Forms. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2. doi : 10.30755/NSJOM.09389. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09389/

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