Decomposition of curvature tensor field in a Tachibana recurrent space K. S. RAWAT1 and NITIN UNIYAL2

AUTHOR AND
AFFILIATION

K. S. RAWAT1 and NITIN UNIYAL2
Department of Mathematics H.N.B. Garhwal University Campus Badshahi Thaul , Tehri (Garhwal)-249199 Uttarakhand (INDIA)
Email: drksrawathnbgu@rediffmail.com nitinuniyalddn@gmail.com

KEYWORDS:

Curvature tensor, Tachibana space, Recurrent space.

Issue Date:

August 2012

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.24 – No.2

PDF

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DOI:

jusps-A

ABSTRACT:

Takano6 have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh5 have been studied on decomposition of recurrent curvature tensor fields in a Finsler space. Further, Negi and Rawat4 have studied decomposition of recurrent curvature tensor field in a Kaehlerian space. In the present paper, we have studied the decomposition of curvature tensor field Rhi jk in terms of two vectors and a tensor field. Also several theorems have been investigated and proved.

Copy the following to cite this Article:

K. S. RAWAT1 and NITIN UNIYAL2, “Decomposition of curvature tensor field in a Tachibana recurrent space”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 2, Page Number , 2016


Copy the following to cite this URL:

K. S. RAWAT1 and NITIN UNIYAL2, “Decomposition of curvature tensor field in a Tachibana recurrent space”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 2, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/431/


Takano6 have studied decomposition of curvature tensor in a recurrent space. Sinha and Singh5 have been studied on decomposition of recurrent curvature tensor fields in a Finsler space. Further, Negi and Rawat4 have studied decomposition of recurrent curvature tensor field in a Kaehlerian space. In the present paper, we have studied the decomposition of curvature tensor field Rhi jk in terms of two vectors and a tensor field. Also several theorems have been investigated and proved.