Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Renato Bettiol
CUNY, New York
 
spricht am
 
Dienstag, 11. September 2018
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

» A Weitzenböck viewpoint on sectional curvature and applications«

Abstract:
In this talk, I will describe a new algebraic characterization of sectional curvature bounds that only involves curvature terms in the Weitzenböck formulae for symmetric tensors. This characterization is further clarified by means of a symmetric analogue of the Kulkarni-Nomizu product, which renders it computationally amenable. Furthermore, a related application of the Bochner technique to closed 4-manifolds with indefinite intersection form and positive or nonnegative sectional curvature will be discussed, yielding a new insight about the Hopf Conjecture. This is based on joint work with R. Mendes (Univ. zu Köln)

 

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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