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- W2777778880 abstract "In this paper, we introduce a class of Sasaki manifolds with a reductive $G$-group action, called $G$-Sasaki manifolds. By reducing K-energy to a functional defined on a class of convex functions on a moment polytope, we give a criterion for the properness of K-energy. In particular, we deduce a sufficient and necessary condition related to the polytope for the existence of transverse $G$-Sasaki Einstein metrics. A similar result is also obtained for transverse $G$-Sasaki Ricci solitons. As an application, we construct several examples of $G$-Sasaki Ricci solitons by an established openness theorem for transverse $G$-Sasaki Ricci solitons." @default.
- W2777778880 created "2018-01-05" @default.
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- W2777778880 date "2017-12-21" @default.
- W2777778880 modified "2023-10-14" @default.
- W2777778880 title "$G$-Sasaki manifolds and K-energy" @default.
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- W2777778880 doi "https://doi.org/10.48550/arxiv.1712.07934" @default.
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