On Subspaces of an Almost 𝝋-Lagrange Space

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-s...

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Main Authors:	P. N. Pandey, Suresh K. Shukla
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2012/981059

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spelling	doaj-67c271724d54451d962186b0ed591cdd2020-11-25T00:03:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/981059981059On Subspaces of an Almost 𝝋-Lagrange SpaceP. N. Pandey0Suresh K. Shukla1Department of Mathematics, University of Allahabad, Allahabad 211002, IndiaDepartment of Mathematics, University of Allahabad, Allahabad 211002, IndiaWe 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.http://dx.doi.org/10.1155/2012/981059
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	P. N. Pandey Suresh K. Shukla
spellingShingle	P. N. Pandey Suresh K. Shukla On Subspaces of an Almost 𝝋-Lagrange Space International Journal of Mathematics and Mathematical Sciences
author_facet	P. N. Pandey Suresh K. Shukla
author_sort	P. N. Pandey
title	On Subspaces of an Almost 𝝋-Lagrange Space
title_short	On Subspaces of an Almost 𝝋-Lagrange Space
title_full	On Subspaces of an Almost 𝝋-Lagrange Space
title_fullStr	On Subspaces of an Almost 𝝋-Lagrange Space
title_full_unstemmed	On Subspaces of an Almost 𝝋-Lagrange Space
title_sort	on subspaces of an almost 𝝋-lagrange space
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2012-01-01
description	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.
url	http://dx.doi.org/10.1155/2012/981059
work_keys_str_mv	AT pnpandey onsubspacesofanalmostφlagrangespace AT sureshkshukla onsubspacesofanalmostφlagrangespace
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On Subspaces of an Almost 𝝋-Lagrange Space

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