14 citations · 62 across the 18 of their papers we have counts for
20 papers
Twins in K{ä}hler and Sasaki geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We introduce the notions of weighted extremal K{ä}hler twins together with the related notion of extremal Sasaki twins. In the Kähler setting this leads to a generalization of the…
Existence and Non-Existence of Constant Scalar Curvature and Extremal Sasaki Metrics
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We discuss the existence and non-existence of constant scalar curvature, as well as extremal, Sasaki metrics. We prove that the natural Sasaki-Boothby-Wang manifold over the admiss…
Transverse Kähler holonomy in Sasaki Geometry and ${\oldmathcal S}$-Stability
Charles P. Boyer, Hongnian Huang, Christina V. Tønnesen-Friedman
We study the transverse Kähler holonomy groups on Sasaki manifolds $(M,{\oldmathcal S})$ and their stability properties under transverse holomorphic deformations of the characteris…
Some Open Problems in Sasaki Geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
This paper has been submitted to the Proceedings of the Australian-German Workshop on Differential Geometry in the Large held at the mathematical research institute MATRIX in Cresw…
Cohomogeneity-one -Laplacian flow on 7-torus
Hongnian Huang, Yuanqi Wang, Chengjian Yao
We prove the hypersymplectic flow of simple type on standard torus exists for all time and converges to the standard flat structure modulo diffeomorphisms. This resu…
An application of the Duistertmaat--Heckman Theorem and its extensions in Sasaki Geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre
Building on an idea laid out by Martelli--Sparks--Yau, we use the Duistermaat-Heckman localization formula and an extension of it to give rational and explicit expressions of the v…