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 language | English (US) |
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Pages (from-to) | 837-863 |
Number of pages | 27 |
Journal | Communications in Analysis and Geometry |
Volume | 16 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2008 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty