Open AccessOn a Hsu-Unified Structure Manifold with a Quarter-Symmetric Non-Metric Connection
Author(s) -
Ram Nivas,
Anurag Agnihotri
Publication year - 2013
Publication title -
bulletin of mathematical sciences and applications
Language(s) - English
Resource type - Journals
ISSN - 2278-9634
DOI - 10.18052/www.scipress.com/bmsa.3.63
Subject(s) - metric connection , mathematics , connection (principal bundle) , covariance and contravariance of vectors , manifold (fluid mechanics) , metric (unit) , pure mathematics , quarter (canadian coin) , statistical manifold , topology (electrical circuits) , mathematical analysis , fundamental theorem of riemannian geometry , combinatorics , geometry , information geometry , ricci curvature , scalar curvature , mechanical engineering , economics , operations management , archaeology , engineering , curvature , history
In the present paper, we have defined a Hsu-unified structure manifold and a Hsu-Kahler manifold and studied some properties of the quarter-symmetric non-metric connection. Certain interesting results on such manifolds have been obtained. We have also studied the properties of the contravariant almost analytic vector field on these manifolds equipped with the quarter-symmetric non-metric connection.
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