Open AccessA semi-symmetric metric connection on an integrated contact metric structure manifold
Author(s) -
Shalini Singh
Publication year - 2016
Publication title -
international journal of advances in scientific research
Language(s) - English
Resource type - Journals
ISSN - 2395-3616
DOI - 10.7439/ijasr.v2i12.3814
Subject(s) - metric connection , levi civita connection , connection (principal bundle) , fundamental theorem of riemannian geometry , fisher information metric , mathematics , statistical manifold , metric (unit) , pseudo riemannian manifold , manifold (fluid mechanics) , pure mathematics , riemannian manifold , fubini–study metric , differentiable function , hermitian manifold , mathematical analysis , topology (electrical circuits) , information geometry , injective metric space , metric space , geometry , combinatorics , ricci curvature , scalar curvature , mechanical engineering , operations management , curvature , economics , engineering
In 1924, A. Friedmann and J. A. Schoten [1] introduced the idea of a semi-symmetric linear connection in a differentiable manifold. Hayden [2] has introduced the idea of metric connection with torsion in a Riemannian manifold. The properties of semi-symmetric metric connection in a Riemannian manifold have been studied by Yano [3] and others [4], [5]. The purpose of the present paper is to study some properties of semi-symmetric metric connection on an integrated contact metric structure manifold [6], several useful algebraic and geometrical properties have been studied.