Riemannian geometry on mapping spaces and relations to shape analysis and fluid dynamics

Sala 6.2.33, FCUL, Lisboa

Por Philipp Harms (FREIS, Univ. Freiburg).

Abstract: Fluid dynamics and shape analysis are linked by a common underlying geometric structure, namely, Sobolev-type Riemannian metrics on manifolds of mappings. I will characterize the degeneracy and non-degeneracy of the corresponding geodesic distances, establish local well-posedness of the corresponding geodesic equations, and discuss applications of these results to shape analysis and fluid dynamics.

GFM - Grupo de Física Matemática