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Journal of Geometry

, 109:1 | Cite as

The scalar curvature of a projectively invariant metric on a convex domain

  • Yadong Wu
Article
  • 30 Downloads

Abstract

Considering a projectively invariant metric on a strongly convex bounded domain, we study the asymptotic expansion of the scalar curvature with respect to the distance function, and use the Fubini–Pick invariant to describe the second term in the expansion. In particular for the two-dimensional convex domain, we also show that the third term in the expansion is zero.

Keywords

Scalar curvature Fubini–Pick invariant projectively invariant metric 

Mathematics Subject Classification

53A15 34E05 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceJiangxi Normal UniversityNanchangChina

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