Communications in Analysis and Geometry

Volume 16 (2008)

Number 4

Riemannian moment map

Pages: 837 – 863



Xiaowei Wang (The Chinese University of Hong Kong)


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.

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