Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Bernhard Hanke
Universität Augsburg

 
spricht am
 
Montag, 13. Dezember 2021
 
um
 
16:15 Uhr
 
im
 
1009/L und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»Boundary Conditions for Scalar Curvature «

Abstract:

On connected manifolds of dimension at least two and with nonempty boundary the existence of Riemannian metrics with positive scalar curvature is unobstructed, unlike on closed manifolds.

We discuss a number of geometric boundary conditions, such as being of non-negative mean curvature, totally geodesic, doubling or of product form near the boundary, which lead to nontrivial existence and classification results for positive scalar curvature metrics.

To this end, we formulate a general deformation principle that implies that the relaxation of boundary conditions often leads to weak homotopy equivalences of spaces of positive scalar curvature metrics. However, this is not true for the condition of being of product form near the boundary, which is often used by topologists.

Joint work with Christian Bär (Potsdam).


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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