On the transverse Scalar Curvature of a Compact Sasaki Manifold
Complex Manifolds (2014)
- Volume: 1, Issue: 1, page 52-63, electronic only
- ISSN: 2300-7443
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topWeiyong He. "On the transverse Scalar Curvature of a Compact Sasaki Manifold." Complex Manifolds 1.1 (2014): 52-63, electronic only. <http://eudml.org/doc/276964>.
@article{WeiyongHe2014,
abstract = {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},
author = {Weiyong He},
journal = {Complex Manifolds},
keywords = {Transverse Scalar curvature; Symmetric space; Moment map; transverse scalar curvature; symmetric space; moment map},
language = {eng},
number = {1},
pages = {52-63, electronic only},
title = {On the transverse Scalar Curvature of a Compact Sasaki Manifold},
url = {http://eudml.org/doc/276964},
volume = {1},
year = {2014},
}
TY - JOUR
AU - Weiyong He
TI - On the transverse Scalar Curvature of a Compact Sasaki Manifold
JO - Complex Manifolds
PY - 2014
VL - 1
IS - 1
SP - 52
EP - 63, electronic only
AB - 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
LA - eng
KW - Transverse Scalar curvature; Symmetric space; Moment map; transverse scalar curvature; symmetric space; moment map
UR - http://eudml.org/doc/276964
ER -
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