167 citations · 495 across the 25 of their papers we have counts for
25 papers
The Sasaki Cone and Extremal Sasakian Metrics
Charles P. Boyer, Krzysztof Galicki, Santiago R. Simanca
We study the Sasaki cone of a CR structure of Sasaki type on a given closed manifold. We introduce an energy functional over the cone, and use its critical points to single out the…
Sasakian Geometry, Holonomy, and Supersymmetry
Charles P. Boyer, Krzysztof Galicki
In this expository article we discuss the relations between Sasakian geometry, reduced holonomy and supersymmetry. It is well known that the Riemannian manifolds other than the rou…
Canonical Sasakian Metrics
Charles P. Boyer, Krzysztof Galicki, Santiago R. Simanca
Let be a closed manifold of Sasaki type. A polarization of is defined by a Reeb vector field, and for one such, we consider the set of all Sasakian metrics compatible with…
Constructions in Sasakian Geometry
Charles P. Boyer, Krzysztof Galicki, Liviu Ornea
We describe various constructions in Sasakian geometry. First we generalize the join construction of the first two authors to arbitrary Sasakian manifolds. We then give several exa…
Highly connected manifolds with positive Ricci curvature
Charles P Boyer, Krzysztof Galicki
We prove the existence of Sasakian metrics with positive Ricci curvature on certain highly connected odd dimensional manifolds. In particular, we show that manifolds homeomorphic t…
Sasakian Geometry and Einstein Metrics on Spheres
Charles P. Boyer, Krzysztof Galicki
This paper is based on a talk presented by the first author at the Short Program on Riemannian Geometry that took place at the Centre de Recherche Mathématiques, Université de Mont…