Riemannian moment map

Xiaowei Wang

doi:10.4310/CAG.2008.v16.n4.a5

Riemannian moment map

Xiaowei Wang

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	837-863
Number of pages	27
Journal	Communications in Analysis and Geometry
Volume	16
Issue number	4
DOIs	https://doi.org/10.4310/CAG.2008.v16.n4.a5
State	Published - Oct 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

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

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10.4310/CAG.2008.v16.n4.a5

Cite this

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title = "Riemannian moment map",

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 K{\"a}hler geometry. Both finite and infinite dimensional examples are presented.",

author = "Xiaowei Wang",

year = "2008",

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doi = "10.4310/CAG.2008.v16.n4.a5",

language = "English (US)",

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AB - 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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JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

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Riemannian moment map

Abstract

All Science Journal Classification (ASJC) codes

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