IJPAM: Volume 83, No. 3 (2013)
WITH (α, β)-METRIC
1,2Department of Mathematics
University of Allahabad
Allahabad, 211002, INDIA
3Department of Mathematics
Jagannath Gupta Institute of Engineering and Technology
Sitapura, Jaipur, 302022, INDIA
Abstract. The present paper deals with the differential geometry of rheonomic Lagrange spaces with (α, β)-metric. We obtain the coefficients of a semispray, integral curves of the semispray, canonical nonlinear connection, differential equations of autoparallel curves and canonical metrical (α, β)-metric.
Received: October 6, 2012
AMS Subject Classification: 53B40, 53C60
Key Words and Phrases: rheonomic Lagrange spaces, (α, β)-metric, semispray, canonical nonlinear connection, autoparallel curves and canonical metrical N-linear connection
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DOI: 10.12732/ijpam.v83i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395