Necessary Conditions for a Superdifferentiable Supercurve to be a Weak Minimum Relative to Two Sub-Supermanifolds

Cristea, Valentin

doi:10.7546/giq-4-2003-161-167

VOL. 4 | 2003 Necessary Conditions for a Superdifferentiable Supercurve to be a Weak Minimum Relative to Two Sub-Supermanifolds

Chapter Author(s) Valentin Cristea

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Geom. Integrability & Quantization, 2003: 161-167 (2003) DOI: 10.7546/giq-4-2003-161-167

Abstract

Let $L$ defines a regular problem in the calculus of variations on supermanifolds. The necessary conditions for a piecewise superdifferentiable supercurve $C$ in sense of Rogers to be a weak local minimum relative to two sub-supermanifolds are given.