Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Professor Dr. Bernhard Hanke
Universität Augsburg

spricht am
Montag, 28. Oktober 2019
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»Scalar positive immersions«

As shown by Gromov-Lawson and Stolz the only obstruction to the existence of positive scalar curvature metrics on closed simply connected manifolds in dimensions at least five appears on spin manifolds, and is given by the non-vanishing of the alpha-genus of Hitchin. When unobstructed we will in this paper realise a positive scalar curvature metric by an immersion into Euclidean space whose dimension is uniformly close to the classical Whitney upper-bound for smooth immersions. Our main tool is an extrinsic counterpart of the well-known Gromov-Lawson surgery procedure for constructing positive scalar curvature metrics.


Hierzu ergeht herzliche Einladung.

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

[Impressum]      [Datenschutz],     Do 17-Okt-2019 14:52:48 MESZ