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Project B6 of SFB/Transregio 71: Estimates for Scalar Curvature. DFG SPP 1154

Description of the project:
On some Riemannian manifolds one cannot increase both the metric and the scalar curvature simultaneously at each point. We hope to show that Ricci-positive manifolds have this property. We are also looking for a general condition for Riemannian manifolds, under which one cannot increase the metric and the first Dirac eigenvalue simultaneously. These questions are related to Gromov's concepts of K-area and K-length and to L∞ curvature estimates that are similar in spirit to known L² curvature estimates.

Additional information: http://sfbtr71.de/
contact person: Prof. Dr. Sebastian Goette
Phone: 0761/203-5571
Email: Sebastian.Goette@math.uni-freiburg.de
Runtime:
Start of project: 2009
End of project: 2013
Project Management:
Albert-Ludwigs-University Freiburg
Prof. Dr. Sebastian Goette
Abteilung für Reine Mathematik
Prof. Dr. Sebastian Goette
Eckerstraße 1
79104 Freiburg
Germany

Phone: +49 761 203-5571
Fax: +49 761 203-5541
Email: sebastian.goette@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/goette/
Actual Research Report
Financing:
  • DFG