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

Charles P. Boyer; Christina W. T{\o}nnesen-Friedman

arxiv: 1108.2005 · v3 · pith:Q5LNATI3new · submitted 2011-08-09 · 🧮 math.DG

Extremal Sasakian Geometry on T²times S³ and Related Manifolds

Charles P. Boyer , Christina W. T{\o}nnesen-Friedman This is my paper

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keywords extremalstructuresmanifoldsrelatedsasakiantimesbouquetscase

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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.

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Extremal Sasakian Geometry on T²times S³ and Related Manifolds

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