On decomposition of recurrent curvature tensor fields in a Kaehlerian manifold

Author & Affiliation:
U.S. Negi (usnegi7@gmail.com)
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal - 249 199 (Uttarakhand) INDIA)
Ashish Semwal
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal - 249 199 (Uttarakhand) INDIA)
Keyword:
Riemannian, Kaehlerian, H-projective, curvature tensors, recurrent space
Issue Date:
August 2010
Abstract:

Takano1 has studied decomposition of curvature tensor in a recurrent space; Sinha and Singh4 have studied on decomposition of recurrent curvature tensor fields in Finsler space. Sinha2 has studied on H-curvature tensors in Kaehler manifold. Further, Singh5 has studied on decomposition of recurrent curvature tensor fields in a Kaehlerian space. Also, Singh and Petwal9 have studied on decomposition of curvature tensor fields in Tachibana recurrent spaces. In the present paper, we have considered the decomposition of curvature tensor field Rhijk in terms of a vector field and two tensor fields and several other theorems have been derived.

 

Pages:
413-418
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

U. Negi; A. Semwal, "On decomposition of recurrent curvature tensor fields in a Kaehlerian manifold", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 413-418, 2018

Copy the following to cite this URL:

U. Negi; A. Semwal, "On decomposition of recurrent curvature tensor fields in a Kaehlerian manifold", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 413-418, 2018

Available from: https://www.ultrascientist.org/paper/988/

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