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

GFM seminar
FCUL, C6, room 6.2.33
2019-09-25 14:30 .. 15:30
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by Philipp Harms (FREIS, Univ. Freiburg)

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.

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