Riemannian moment map

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2 Scopus citations

Abstract

In this paper, we introduce a notion called moment map for a real reductive group acting on a Riemannian manifold, and set up the foundation for the theory of Riemannian moment map. This extends the well-known theory in Kähler geometry. Both finite and infinite dimensional examples are presented.

Original languageEnglish (US)
Pages (from-to)837-863
Number of pages27
JournalCommunications in Analysis and Geometry
Volume16
Issue number4
DOIs
StatePublished - Oct 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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