Journal
JOURNAL OF GEOMETRIC ANALYSIS
Volume 31, Issue 2, Pages 1415-1470Publisher
SPRINGER
DOI: 10.1007/s12220-019-00285-1
Keywords
K-energy; Lie group; Sasaki– Einstein metrics
Categories
Ask authors/readers for more resources
This paper introduces a class of G-Sasaki manifolds with a reductive G-group action on their Kahler cones, proving the properness of K-energy on such manifolds and obtaining a sufficient and necessary condition for the existence of G-Sasaki-Einstein metrics. The results also apply to G-Sasaki-Ricci solitons, leading to the construction of many new examples through an established openness theorem.
In this paper, we introduce a class of Sasaki manifolds, called G-Sasaki manifolds with a reductive G-group action on their Kahler cones. By proving the properness of K-energy on such manifolds, we obtain a sufficient and necessary condition for the existence of G-Sasaki-Einstein metrics. A similar result is also obtained for G-Sasaki-Ricci solitons. As an application, we construct many new examples of G-Sasaki-Ricci solitons by an established openness theorem.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available