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Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

M. Sc. Helge Frerichs
Universität Augsburg
 
spricht am
 
Montag, 12. Oktober 2026
 
um
 
14 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Boundary flexibility for curvature conditions«

Abstract:
In order to construct Riemannian manifolds with specific curvature constraints, it is important to identify conditions under which these constraints are preserved under boundary gluing. We prove a general such gluing principle for families of Riemannian metrics with pointwise curvature restrictions on manifolds with possibly non-compact boundary. This includes, as special cases, the classical gluing theorems by Perelman for metrics with positive Ricci curvature and convex singularities and by Gromov-Lawson and Bär-Hanke for metrics with positive scalar curvature and mean convex singularities. Using the language of algebraic curvature cones, our theorem implies and unifies many more previous gluing results.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

NEU: Kaffee, Tee und Gebäck direkt *nach* dem Vortrag im Raum L1-2006


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