Generalized gradient flow and singularities of the Riemannian distance function
Cannarsa, Piermarco1
1 Dipartimento di Matematica Università di Roma ‘Tor Vergata’ Via della Ricerca Scientifica 1 00133 Roma Italy
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 9, 16 p.

Significant information about the topology of a bounded domain Ω of a Riemannian manifold M is encoded into the properties of the distance, d ∂Ω , from the boundary of Ω. We discuss recent results showing the invariance of the singular set of the distance function with respect to the generalized gradient flow of d ∂Ω , as well as applications to homotopy equivalence.

DOI : 10.5802/slsedp.37
Cannarsa, Piermarco 1

1 Dipartimento di Matematica Università di Roma ‘Tor Vergata’ Via della Ricerca Scientifica 1 00133 Roma Italy 
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Cannarsa, Piermarco. Generalized gradient flow and singularities of the Riemannian distance function. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 9, 16 p. doi : 10.5802/slsedp.37. http://archive.numdam.org/articles/10.5802/slsedp.37/

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