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On the transverse Scalar Curvature of a Compact Sasaki Manifold

100%

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

Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections

63%

Keller J., Tønnesen-Friedman C.

Open Mathematics

2012

tom 10

nr 5

1673-1687

We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.

Ograniczanie wyników

1 Complex Manifolds

1 Open Mathematics

1 He W.

1 Keller J.

1 Tønnesen-Friedman C.

1 2014

1 2012

Wyniki wyszukiwania

On the transverse Scalar Curvature of a Compact Sasaki Manifold

Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections