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Tag Archives: Seminar on subRiemannan geometry
Notes of Erlend Grong’s Orsay lecture 27062017
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
Notes of Davide Barilari’s march 2016 lecture
Distorsion du volume géodesique et courbure de Ricci en géométrie sousriemannienne 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
Notes of Emmanuel Trelat’s lecture
Asymptotique du spectre sousriemannien 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 sousriemanniens 1.1. … Continue reading
Notes of Alessio Figalli’s lecture
Quantitative stability estimates for the BrunnMinkowski inequality 1. The stability problem 1.1. BrunnMinkowski’s inequality Let . Note that , so When does equality hold ? When . This is an easy particular case of the following. Theorem 1 (BrunnMinkowski) Let … Continue reading
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
Notes of Manuel Ritore’s lecture
A flux formula for areastationary 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
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