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.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty