This work is to give an overview over the research that I've done up to now. The overall idea behind my interests has been that of understanding analytical and geometrical properties of non smooth spaces both from both a theoretical and a practical point of view. The two main classes of spaces on which I focussed are: the Wasserstein space (P2(M),W2) built over a Riemannian manifold, and abstract metric and metric-measure spaces, in particular those with Ricci curvature bounded below.

Propriétés géométriques et analytiques de certaines structures non lisses / Gigli, Nicola. - (2011 Nov 25).

Propriétés géométriques et analytiques de certaines structures non lisses

Gigli, Nicola
2011

Abstract

This work is to give an overview over the research that I've done up to now. The overall idea behind my interests has been that of understanding analytical and geometrical properties of non smooth spaces both from both a theoretical and a practical point of view. The two main classes of spaces on which I focussed are: the Wasserstein space (P2(M),W2) built over a Riemannian manifold, and abstract metric and metric-measure spaces, in particular those with Ricci curvature bounded below.
Bianchini, Stefano
Gigli, Nicola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15764
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