Title: A variational minimal principle characterizes submanifolds of finite type
Authors: Chen, By *
Dillen, Franki * ×
Verstraelen, Leopold *
Vrancken, Luc * #
Issue Date: 1993
Publisher: Gauthier-villars
Series Title: Comptes rendus de l academie des sciences serie i-mathematique vol:317 issue:10 pages:961-965
Abstract: Let E be a class of deformations acting on a compact submanifold M in E(m). We say that M satisfies the variational minimal principle in the class E if M is a critical point of the volume-functional in the class E. In this article, we show that compact submanifolds of finite type, introduced in [1], are characterized by a variational minimal principle. Some related results will also be presented.
ISSN: 0764-4442
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
* (joint) first author
× corresponding author
# (joint) last author

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