Multiplicity of constant scalar curvature metrics in Tk×M

2014 ◽  
Vol 109 ◽  
pp. 103-112 ◽  
Author(s):  
Héctor Fabián Ramírez-Ospina
Keyword(s):  
Scalar Curvature ◽  
Constant Scalar Curvature ◽  
Constant Scalar Curvature Metrics

scholarly journals Refined asymptotics for constant scalar curvature metrics with isolated singularities

1999 ◽  
Vol 135 (2) ◽  
pp. 233-272 ◽  
Author(s):  
Nick Korevaar ◽  
Rafe Mazzeo ◽  
Frank Pacard ◽  
Richard Schoen
Keyword(s):  
Scalar Curvature ◽  
Constant Scalar Curvature ◽  
Isolated Singularities ◽  
Constant Scalar Curvature Metrics

scholarly journals Generalizations of Kähler-Ricci solitons on projective bundles

2011 ◽  
Vol 108 (2) ◽  
pp. 161 ◽  
Author(s):  
Gideon Maschler ◽  
Christina W. Tønnesen-Friedman
Keyword(s):  
Scalar Curvature ◽  
Existence Theorem ◽  
Einstein Metrics ◽  
Constant Scalar Curvature ◽  
Ricci Solitons ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Projective Bundles ◽  
Affine Combination ◽  
Constant Scalar Curvature Metrics

We prove that an admissible manifold (as defined by Apostolov, Calderbank, Gauduchon and Tønnesen-Friedman), arising from a base with a local Kähler product of constant scalar curvature metrics, admits Generalized Quasi-Einstein Kähler metrics (as defined by D. Guan) in all "sufficiently small" admissible Kähler classes. We give an example where the existence of Generalized Quasi-Einstein metrics fails in some Kähler classes while not in others. We also prove an analogous existence theorem for an additional metric type, defined by the requirement that the scalar curvature is an affine combination of a Killing potential and its Laplacian.

Sign in / Sign up

Export Citation Format

Share Document