Motions in a Riemannian space and some integrability conditions

AUTHOR AND
AFFILIATION

K.S. RAWAT and MUKESH KUMAR
Department of Mathematics H.N.B.Garhwal University CampusBadshahi Thaul, Tehri (Garhwal)-Uttarakhand (INDIA)
Email-mukesh.nautiyal2@gmail.com

KEYWORDS:

Riemannian space

Issue Date:

April 2012

Pages:

ISSN:

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

Source:

Vol.24 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

Knebelman1 studied and defined collineations and motions in generalised spaces. Levine3 studied motions in linearly connected two dimensional spaces. Takano2, studied on the existence of affine motion in a space with recurrent curvature tensor. Further, Negi and Rawat6 studied affine motion in an almost Tachibana recurrent space. Rawat and Dobhal9, studied on Projective motion in a Tachibana symmetric space
.
In the present paper, we have studied Affine motion, Projective motion, Conformal motion, Integrability conditions of Killing equations also several theorems have been established and proved therein.

Copy the following to cite this Article:

K.S. RAWAT and MUKESH KUMAR, “Motions in a Riemannian space and some integrability conditions”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016


Copy the following to cite this URL:

K.S. RAWAT and MUKESH KUMAR, “Motions in a Riemannian space and some integrability conditions”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/444/


Knebelman1 studied and defined collineations and motions in generalised spaces. Levine3 studied motions in linearly connected two dimensional spaces. Takano2, studied on the existence of affine motion in a space with recurrent curvature tensor. Further, Negi and Rawat6 studied affine motion in an almost Tachibana recurrent space. Rawat and Dobhal9, studied on Projective motion in a Tachibana symmetric space
.
In the present paper, we have studied Affine motion, Projective motion, Conformal motion, Integrability conditions of Killing equations also several theorems have been established and proved therein.