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On the transverse Scalar Curvature of a Compact Sasaki Manifold

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He W.

Complex Manifolds

2014

tom 1

nr 1

We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the strict contactomophism group

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1 Complex Manifolds

1 He W.

1 2014

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On the transverse Scalar Curvature of a Compact Sasaki Manifold