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On Subspaces of an Almost -Lagrange Space
Author(s) -
P. N. Pandey,
Suresh K. Shukla
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/981059
Subject(s) - linear subspace , mathematics , gauss , space (punctuation) , connection (principal bundle) , tangent , subspace topology , nonlinear system , tangent space , mathematical analysis , pure mathematics , geometry , physics , quantum mechanics , linguistics , philosophy
We discuss the subspaces of an almost -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

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