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TENSION FIELD AND INDEX FORM OF ENERGY-TYPE FUNCTIONALS

Published online by Cambridge University Press:  01 May 2003

STEFAN BECHTLUFT-SACHS
Affiliation:
Universität Regensburg, Fakultät für Mathematik, D-93040 Regensburg, Germany e-mail: stefan_bechtluft-sachs@mathematik-uni-regensburg.de
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Abstract

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We derive variational formulae for natural first order energy functionals and obtain criteria for the stability of isometric immersions. This generalizes known results for the classical energy, the $p$-energy and the exponential energy.

Keywords

Type
Research Article
Copyright
2003 Glasgow Mathematical Journal Trust