scholarly journals A Note on Hermitian-Einstein Metrics on Parabolic Stable Bundles

2001 ◽  
Vol 17 (1) ◽  
pp. 77-80 ◽  
Author(s):  
Jia Yu Li ◽  
M. S. Narasimhan
Keyword(s):  
Einstein Metrics ◽  
Stable Bundles

Hermitian-einstein metrics on parabolic stable bundles

1999 ◽  
Vol 15 (1) ◽  
pp. 93-114 ◽  
Author(s):  
Jiayu Li ◽  
M. S. Narasimhan
Keyword(s):  
Einstein Metrics ◽  
Stable Bundles

scholarly journals A Note on Hermitian-Einstein Metrics on Parabolic Stable Bundles

2001 ◽  
Vol 17 (1) ◽  
pp. 77-80 ◽  
Author(s):  
Jia Yu Li ◽  
M.S. Narasimhan
Keyword(s):  
Einstein Metrics ◽  
Stable Bundles

Invariant Einstein metrics on $\mathrm{SU}(n)$ and complex Stiefel manifolds

2020 ◽  
Vol 72 (2) ◽  
pp. 161-210 ◽  
Author(s):  
Andreas Arvanitoyeorgos ◽  
Yusuke Sakane ◽  
Marina Statha
Keyword(s):  
Einstein Metrics ◽  
Stiefel Manifolds

scholarly journals Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent Cones

2017 ◽  
Vol 4 (1) ◽  
pp. 43-72 ◽  
Author(s):  
Martin de Borbon
Keyword(s):  
Vector Field ◽  
Einstein Metrics ◽  
Projective Line ◽  
Tangent Cones ◽  
Reeb Vector ◽  
Reeb Vector Field ◽  
Complex Curves ◽  
Complex Dimensions ◽  
Irregular Case ◽  
Kähler Einstein Metrics

Abstract The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities. The proofs and constructions are completely elementary, nevertheless they have an intrinsic beauty. In a few words; tangent cones correspond to spherical metrics with cone singularities in the projective line by means of the Kähler quotient construction with respect to the S1-action generated by the Reeb vector field, except in the irregular case ℂβ₁×ℂβ₂ with β₂/ β₁ ∉ Q.

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