Geodesic Rigidity of Conformal Connections on Surfaces

Thomas Mettler

Departement für Mathematik, ETH Zürich, Zürich, Switzerland

Date: May 9, 2015.

Published Version: Math. Z. 281 (2015), 379—393

1 Introduction
2 Projective structures and conformal connections
2.1 Projective structures
2.2 Conformal connections
3 Flexibility and rigidity of holomorphic curves
3.1 Chern-class of the co-normal bundle
3.2 Rigidity of holomorphic curves
3.3 Conformal connections on the 2-sphere
References