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• W1582381547 abstract "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 strongly extremal Reeb vector fields. Should one such vector field be a member of the extremal set, the scalar curvature of a Sasaki extremal metric representing it would have the smallest L 2-norm among all Sasakian metrics of fixed volume that can represent vector fields in the cone. We use links of isolated hypersurface singularities to produce examples of manifolds of Sasaki type, many of these in dimension five, whose Sasaki cone coincides with the extremal set, and examples where the extremal set is empty. We end up by proving that a conjecture of Orlik concerning the torsion of the homology groups of these links holds in the five-dimensional case." @default.
• W1582381547 created "2016-06-24" @default.
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• W1582381547 date "2009-01-01" @default.
• W1582381547 modified "2023-09-23" @default.
• W1582381547 title "The Sasaki Cone and Extremal Sasakian Metrics" @default.
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• W1582381547 doi "https://doi.org/10.1007/978-0-8176-4743-8_11" @default.
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