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1. Covariant second variation for first order Lagrangians on fibered manifolds II: generalized curvature and Bianchi identities

Author

O. AMICI, B. CASCIARO, and M. FRANCAVIGLIA

Subjects
second variation, generalized curvature tensorfields, bianchi identities, Mathematics, QA1-939
Abstract

The notion of generalized curvature structures ensuing from the second variation of a (first–order) Lagrangian is extensively discussed. It is shown that generalized curvature structures satisfy appropriate (generalized) Bianchi identities. Formulae applicable to curvature Lagrangians are developed in great detail. Examples are taken from the theory of generalized harmonic Lagrangians.

Published
1996

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