On Kähler Metrisability of Two-dimensional Complex Projective Structures

Thomas Mettler

Department of Mathematics, ETH Zürich, Zürich, Switzerland

Date: April 2, 2014

Published Version: Monatsh. Math. 174 (2014), 599—616

1 Introduction
2 Complex projective surfaces
2.1 Definitions
2.2 Cartan geometry
2.3 Bianchi-identities
2.4 Complex and generalised geodesics
3 Kähler metrisability
References