Extremal Sasakian Geometry on S-bundles over Riemann Surfaces

Abstract

In this paper we study the Sasakian geometry on Sbundles over a Riemann surface Σg of genus g > 0 with emphasis on extremal Sasaki metrics. We prove the existence of a countably infinite number of inequivalent contact structures on the total space of such bundles that admit 2-dimensional Sasaki cones each with a Sasaki metric of constant scalar curvature… (More)

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