Existence of twisted constant scalar curvature Kähler metrics with a large twist
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2133-y
Abstract: Suppose that there exist two Kähler metrics $$\omega $$ω and $$\alpha $$α such that the metric contraction of $$\alpha $$α with respect to $$\omega $$ω is constant, i.e. $$\varLambda _{\omega } \alpha = \text {const}$$Λωα=const. We… read more here.
Keywords: hler; constant scalar; hler metrics; twisted constant ... See more keywords
Numerical Approximations to Extremal Toric Kähler Metrics with Arbitrary Kähler Class
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DOI: 10.1017/s0013091516000444
Abstract: Abstract We develop new algorithms for approximating extremal toric Kähler metrics. We focus on an extremal metric on , which is conformal to an Einstein metric (the Chen–LeBrun–Weber metric). We compare our approximation to one… read more here.
Keywords: hler; hler metrics; einstein metric; toric hler ... See more keywords
From ALE to ALF gravitational instantons
Sign Up to like & getrecommendations! Published in 2018 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007030
Abstract: In this article, we give an analytic construction of ALF hyperkähler metrics on smooth deformations of the Kleinian singularity $\mathbb{C}^{2}/{\mathcal{D}}_{k}$ , with ${\mathcal{D}}_{k}$ the binary dihedral group of order $4k$ , $k\geqslant 2$ . More… read more here.
Keywords: hler; hler metrics; hyperk hler; gravitational instantons ... See more keywords