Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds

Charles P. Boyer; Christina W. Tønnesen-Friedman

doi:10.1112/S0010437X13007094

Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds

Differential Geometry 2019-02-20 v3

Authors: Charles P. Boyer , Christina W. Tønnesen-Friedman

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Abstract

We prove the existence of extremal Sasakian structures occurring on a countably infinite number of distinct contact structures on $T^2\times S^3$ and certain related manifolds. These structures occur in bouquets and exhaust the Sasaki cones in all except one case in which there are no extremal metrics.

Keywords

extremal Sasakian structures contact structures Sasaki cones extremal metrics $T^2\times S^3$

Cite

@article{arxiv.1108.2005,
  title  = {Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds},
  author = {Charles P. Boyer and Christina W. Tønnesen-Friedman},
  journal= {arXiv preprint arXiv:1108.2005},
  year   = {2019}
}

Comments

35 pages, clarifications made and typos corrected in revised version, further corrections made, slight change in title, to appear in Compositio Mathematica

Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds

Abstract

Keywords

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