International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 981059, 14 pages
http://dx.doi.org/10.1155/2012/981059
Research Article

On Subspaces of an Almost 𝝋 -Lagrange Space

P. N. Pandey and Suresh K. Shukla

Department of Mathematics, University of Allahabad, Allahabad 211002, India

Received 29 March 2012; Accepted 4 June 2012

Academic Editor: Zhongmin Shen

Copyright © 2012 P. N. Pandey and Suresh K. Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We discuss the subspaces of an almost 𝜑 -Lagrange space (APL space in short). We obtain the induced nonlinear connection, coefficients of coupling, coefficients of induced tangent and induced normal connections, the Gauss-Weingarten formulae, and the Gauss-Codazzi equations for a subspace of an APL-space. Some consequences of the Gauss-Weingarten formulae have also been discussed.