Generalized gradient flow and singularities of the Riemannian distance function
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 9, 16 p.

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

@article{SLSEDP_2012-2013____A9_0,
author = {Cannarsa, Piermarco},
title = {Generalized gradient flow and singularities of the Riemannian distance function},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:9},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2012-2013},
doi = {10.5802/slsedp.37},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/slsedp.37/}
}
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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