scholarly journals Ricci-Flat Kähler Metrics on Affine Algebraic Manifolds and Degenerations of Kähler–Einstein K3 Surfaces

2018 ◽  
Author(s):  
Ryoichi Kobayashi
Keyword(s):  
K3 Surfaces ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Ricci Flat ◽  
Algebraic Manifolds

scholarly journals Adiabatic limits of Ricci-flat Kähler metrics

2010 ◽  
Vol 84 (2) ◽  
pp. 427-453 ◽  
Author(s):  
Valentino Tosatti
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Adiabatic Limits ◽  
Ricci Flat

scholarly journals Existence of complete Kähler Ricci-flat metrics on crepant resolutions

2014 ◽  
Vol 16 (03) ◽  
pp. 1450003 ◽  
Author(s):  
Bianca Santoro
Keyword(s):  
Asymptotic Behavior ◽  
Existence Results ◽  
Kähler Metrics ◽  
Asymptotically Flat ◽  
Kahler Metrics ◽  
Ricci Flat ◽  
Crepant Resolutions ◽  
Flat Metric

In this note, we obtain existence results for complete Ricci-flat Kähler metrics on crepant resolutions of singularities of Calabi–Yau varieties. Furthermore, for certain asymptotically flat Calabi–Yau varieties, we show that the Ricci-flat metric on the resolved manifold has the same asymptotic behavior as the initial variety.

scholarly journals On asymptotics of complete Ricci-flat Kähler metrics on open manifolds

2010 ◽  
Vol 132 (3-4) ◽  
pp. 431-462
Author(s):  
Bert Koehler ◽  
Marco Kühnel
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Open Manifolds ◽  
Ricci Flat
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