Year: 2025
Type: article
Abstract: Let M i {M}_{i} , for i = 1 i=1 , 2, be a Kähler manifold, and let G G be a compact Lie group acting on M i {M}_{i} by Kähler isometries. Suppose that the action admits a momentum map μ i {\mu }_{i} , and let N i ≔ μ i − 1 ( 0 ) {N}_{i}:= {\mu }_{i}^{-1}\left(0) be a regular-level set. When the action of G G on N i {N}_{i} is proper and free, the Meyer-Marsden-Weinstein quotient P i ≔ N i ∕ G {P}_{i}:= {N}_{i}/G is a Kähler manifold and π i : N i → P i {\pi }_{i}:{N}_{i}\to {P}_{i} is a principal fiber bundle with base P
Source: Complex Manifolds
Authors: Leonardo Biliotti, Alessandro Minuzzo
Institution: University of Parma
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $848
OpenAlex ID: W4413075884