Isometry group of Sasaki-Einstein metric
Weiyong He
TL;DR
This paper proves that the identity component of the holomorphic isometry group of a Sasaki-Einstein metric aligns with a maximal compact subgroup of its automorphism group, clarifying symmetry structures.
Contribution
It establishes a fundamental link between the holomorphic isometry group and automorphism group in Sasaki-Einstein geometry, a new structural insight.
Findings
The identity component of the holomorphic isometry group equals a maximal compact subgroup of the automorphism group.
Provides a characterization of symmetry groups in Sasaki-Einstein metrics.
Enhances understanding of geometric symmetry in Sasaki-Einstein manifolds.
Abstract
We prove that the identity component of the holomorphic isometry group of a Sasaki-Einstein metric is the identity component of a maximal compact subgroup of its automorphism group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory