Geometric Analysis Seminar, Thursday 17 March, 14:00, SISSA

[Math Group]

GEOMETRIC  ANALYSIS   SEMINARS   2016


Thursday, 17  March, at 14:00 hrs.


Lorenzo Mazzieri (University of Trento)


Title: Splitting Principles, Monotonicity Formulas and Geometric 
Inequalities


Abstract:
The aim of this seminar is to describe, through a couple of examples 
coming form classical potential theory and general relativity, the 
interplay between some basic Riemannian splitting principles and the 
rigidity case of relevant geometric inequalities, such as the 
Willmore-Chern inequality for compact hypersurfaces in Euclidean space 
or the Riemannian Penrose inequality for static black holes. As a 
counterpart of this fact, we will see that, beside the characterization 
of the rigidity case, our methods can be used to produce new 
monotonicity formulas, which imply in turn the inequality under 
consideration in its full generality.
The results presented are obtained in collaboration with V. Agostiniani.


Venue: SISSA, room A-137

-- 
Koutou Mabilo
ICTP Mathematics Group
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