Differential Geometry Seminar: Changliang Wang (UCSB), 'Linear and dynamical stability of Einstein metrics'

Event Date: 

Friday, February 7, 2014 -
3:00am to 4:00am

Event Location: 

  • 6635 South Hall

Abstract: There are two kinds of stability problems for Einstein metrics,
i.e. linear stability and dynamical stability. Natasa Sesum proved that in
Ricci flat case dynamical stability implies linear stability and linear
stability together with an integrability assumption imply dynamical
stability. Recently, Robert Haslhofer and Reto Muller improved Sesum's
result by getting rid of the integrability assumption. Then more recently,
Klaus Kroncker generalized Haslhofer and Muller's result to general
Einstein metrics.

Klaus Kroncker's paper is attached if you would like to take a look before the talk. 1312.2224.pdf