On the Existence of Certain General Extremal Metrics

1957 ◽  
Vol 66 (3) ◽  
pp. 440 ◽  
Author(s):  
James A. Jenkins
Keyword(s):  
Extremal Metrics

scholarly journals Relative Chow stability and extremal metrics

2017 ◽  
Vol 316 ◽  
pp. 770-805 ◽  
Author(s):  
Reza Seyyedali
Keyword(s):  
Extremal Metrics ◽  
Chow Stability

scholarly journals Hamiltonian 2-forms in Kähler geometry, III extremal metrics and stability

2008 ◽  
Vol 173 (3) ◽  
pp. 547-601 ◽  
Author(s):  
Vestislav Apostolov ◽  
David M.J. Calderbank ◽  
Paul Gauduchon ◽  
Christina W. Tønnesen-Friedman
Keyword(s):  
Extremal Metrics ◽  
Kahler Geometry

scholarly journals Extremal metrics on graphs I

2002 ◽  
Vol 14 (1) ◽  
Author(s):  
Dmitry Jakobson ◽  
Igor Rivin
Keyword(s):  
Extremal Metrics

Affine compact almost-homogeneous manifolds of cohomogeneity one

2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Daniel Guan
Keyword(s):  
Einstein Metrics ◽  
Compact Manifolds ◽  
Complex Manifolds ◽  
Homogeneous Manifolds ◽  
Einstein Manifolds ◽  
Extremal Metrics ◽  
Cohomogeneity One ◽  
Fano Manifolds ◽  
Kähler Einstein Metrics

AbstractThis paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to the problem posted by Ahiezer on the nonhomogeneity of compact almost-homogeneous manifolds of cohomogeneity one; this clarifies the classification of these manifolds as complex manifolds. We also consider Fano properties of the affine compact manifolds.

scholarly journals Extremal metrics for the Q′-curvature in three dimensions

2016 ◽  
Vol 354 (4) ◽  
pp. 407-410 ◽  
Author(s):  
Jeffrey S. Case ◽  
Chin-Yu Hsiao ◽  
Paul Yang
Keyword(s):  
Three Dimensions ◽  
Extremal Metrics
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