Mon, 07 Jun 2004
17:00
17:00
L1
Convexity on Grassmannians and calculus of variations
Berck Gautier
(Universite catholique de louvain)
Abstract
The talk will discuss the variationnal problem on finite
dimensional normed spaces and Finsler manifolds.
We first review different notions of ellipticity (convexity) for
parametric integrands (densities) on normed spaces and compare them with
different minimality properties of affine subspaces. Special attention will
be given to Busemann and Holmes-Thompson k-area. If time permits, we will
then present the first variation formula on Finsler manifolds and exhibit a
class of minimal submanifolds.