Tag Archives: Seminar on sub-Riemannan geometry

Notes of Erlend Grong’s Orsay lecture 27-06-2017

Asymptotic expansions of holonomy Joint with Pierre Pansu. 1. Motivation Given a connection on a principal bundle , holonomy along a based loop of is an element of resulting from lifting horizontally to . We look for an expression such … Continue reading

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Notes of Davide Barilari’s march 2016 lecture

Distorsion du volume géodesique et courbure de Ricci en géométrie sous-riemannienne Avec Agrachev et Paoli. 1. Position du problème La bonne généralité, c’est les flots hamiltoniens avec hamiltonien quadratique. Soit un domaine, un point hors de . Soit le lieu … Continue reading

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Notes of Emmanuel Trelat’s lecture

Asymptotique du spectre sous-riemannien Avec Luc Hillairet et Yves Colin de Verdière. Nos résultats sont très partiels. Le cas équirégulier marche mais on aimerait aller plus loin. Cela conduit à une nouvelle notion de volume. 1. Les laplaciens sous-riemanniens 1.1. … Continue reading

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Notes of Alessio Figalli’s lecture

Quantitative stability estimates for the Brunn-Minkowski inequality 1. The stability problem 1.1. Brunn-Minkowski’s inequality Let . Note that , so When does equality hold ? When . This is an easy particular case of the following. Theorem 1 (Brunn-Minkowski) Let … Continue reading

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Notes of Davide Vittone’s lecture

Height estimate for minimal surfaces in Heisenberg groups With R. Monti. 1. The main result Theorem 1 In , . There exist constats , , such that if is a local minimizer of perimeter containing the origin, contained in horizontal … Continue reading

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Notes of Manuel Ritore’s lecture

A flux formula for area-stationary surfaces the Heisenberg group Joint with M. Galli. 1. Rulings Our main result is Theorem 1 A complete immersed surface in Heisenberg group which is area stationary is foliated by horizontal lines (up to characteristic … Continue reading

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Notes of Giovanna Citti’s lecture

Total variation flow on the Heisenberg group We study graphs of functions, as subsets of , with prescribed boundary data. We prove existence and uniqueness of minimal graphs, long time existence of the total variation flow. 1. Motivation From image … Continue reading

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