8 citations · 13 across the 11 of their papers we have counts for
23 papers
The toric CR Yamabe problem
Eveline Legendre, Carlo Scarpa, Christina W. Tønnesen-Friedman
We study the equivariant CR Yamabe problem for a fixed-point-free torus action on a co-oriented compact contact manifold. Such examples arise naturally in the study of Sasakian man…
Robustness of CSC Sasaki existence under the join operation
Charles P. Boyer, Christina W. Tønnesen-Friedman
The main purpose of this work is to explore the existence of constant scalar curvature Sasaki metrics in the Sasaki cone of the join of two regular Sasaki manifolds, and $M_2…
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…
Sasakian Geometry on Sphere Bundles II: Constant Scalar Curvature
Charles P. Boyer, Christina W. Tønnesen-Friedman
In a previous paper [BTF21] the authors employed the fiber join construction of Yamazaki [Yam99] together with the admissible construction of Apostolov, Calderbank, Gauduchon, and…
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…