Pressure metric in the space of Riemannian metrics

时   间：  2022-02-25 16:30 — 17:30

We investigate the pressure metric defined in the space of negatively curved Riemannian metrics proposed by Guillarmou, Knieper and Lefeuvre in the Blaschke locus that contains the Teichmuller space. The Blaschke locus contains all Blaschke metrics arisen from affine geometry and is naturally related to the Hitchin component in PGL(3,R). We study a family of geodesics in this locus with respect to the pressure metric and show that they have infinite lengths. 

This is joint work in progress with Nikolaos Eptaminitakis. 

(*Zoom Meeting ID: 919 637 6185; Passcode: 314159)