Contact Structures of Sasaki Type and Their Associated Moduli

Author:

Boyer Charles P.1

Affiliation:

1. 1Department of Mathematics and Statistics, University of New Mexico,Albuquerque, NM 87131, USA

Abstract

Abstract This article is based on a talk at the RIEMain in Contact conference in Cagliari, Italy in honor of the 78th birthday of David Blair one of the founders of modern Riemannian contact geometry. The present article is a survey of a special type of Riemannian contact structure known as Sasakian geometry. An ultimate goal of this survey is to understand the moduli of classes of Sasakian structures as well as the moduli of extremal and constant scalar curvature Sasaki metrics, and in particular the moduli of Sasaki-Einstein metrics.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Reference78 articles.

1. metrics stability arXiv thesis;Gabor Székelyhidi,2006

2. van Coevering operators energy functionals uniqueness of extremal metrics arXiv math math;Monge,1511

3. Deformation of metrics no MR;Hiraku Nozawa;Trans Amer Math Soc,2014

4. New Einstein spaces in ffive and higher dimensions no;Cvetic;Phys Rev Lett,2005

5. On positive geometry MR MR a;Boyer;Geom,2003

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