Convexity on Grassmannians and calculus of variations

7 June 2004
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.
  • Applied Analysis and Mechanics Seminar