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Zbl 1039.58006
Cristea, Valentin
Necessary conditions for a superdifferentiable supercurve to be a weak minimum relative to two sub-supermanifolds. (English)
[A] Mladenov, Iva\"ilo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6--15, 2002. Sofia: Coral Press Scientific Publishing. 161-167 (2003). ISBN 954-90618-4-1/pbk

The author gathers some general definitions and several of his previous results in order to present the frame of reference for the statement and proof of some necessary conditions (in terms related to the Legendre supertransformation) for a piecewise superdifferentiable supercurve (in the sense of A. Rogers) to be a weak local minimum relative to two sub-supermanifolds.
[Eugen Pascu (Montreal)]

MSC 2000:: *58A50 Supermanifolds, etc. (global analysis)
58E99 Variational problems in infinite-dimensional spaces
58E50 Appl. of variational methods in infinite-dimensional spaces

Keywords: differentiable supermanifold; Legendre supertransformation; regular problem in the calculus of variations; supercurve; sub-supermanifold

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