Communications in Analysis and Geometry
Volume 16 (2008)
Riemannian moment map
Pages: 837 – 863
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.