Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics

Abstract

In this work, we consider holomorphically projective mappings of (pseudo-) Kähler spaces. We determine the conditions for finite complete geodesics that must be satisfied for the mappings to be trivial; i.e., these spaces are rigid.

Keywords

• geodesic
• holomorphically projective mappings
• Kähler space
• rigidity
• Riemann tensor
• symmetric space