167 citations · 672 across the 49 of their papers we have counts for
56 papers
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…
Constant Scalar Curvature Sasaki Metrics and Projective Bundles
Charles P. Boyer, Christina W. Tønnesen-Friedman
In this paper we consider the Boothby-Wang construction over twist 1 stage 3 Bott orbifolds given in terms of the log pair . We give explicit constant scalar…
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…
Sasakian Geometry on Sphere Bundles
Charles P. Boyer, Christina W. Tønnesen-Friedman
The purpose of this paper is to study the Sasakian geometry on odd dimensional sphere bundles over a smooth projective algebraic variety with the ultimate, but probably unachie…
Iterated Sasaki Joins and Bott Orbifolds
Charles P Boyer, Christina Tønnesen-Friedman
We present a categorical relationship between iterated Sasaki-joins and Bott orbifolds. Then we show how to construct smooth Sasaki-Einstein (SE) structures on the iterated j…
The $S^3_\bfw$ Sasaki Join Construction
Charles P. Boyer, Christina W. Tønnesen-Friedman
The main purpose of this work is to generalize the $S^3_\bfw$ Sasaki join construction $M\star_\bfl S^3_\bfw$ described in \cite{BoTo14a} when the Sasakian structure on is regu…