On the transverse Scalar Curvature of a Compact Sasaki Manifold

• Autorzy: Weiyong He
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Transverse Scalar curvature; Symmetric space; Moment map

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

otrzymano

2013-10-14

zaakceptowano

2014-04-18

online

2014-09-19

Twórcy

autor

Weiyong He

• Department of Mathematics, University of Oregon, Eugene, OR, 97403,

Bibliografia

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Identyfikatory

DOI

10.2478/coma-2014-0004