NDLI: On homothetic balanced metrics

Content Provider	Springer Nature Link
Author	Arezzo, Claudio Loi, Andrea Zuddas, Fabio
Copyright Year	2011
Abstract	In this article, we study the set of balanced metrics given in Donaldson’s terminology (J. Diff. Geometry 59:479–522, 2001) on a compact complex manifold M which are homothetic to a given balanced one. This question is related to various properties of the Tian-Yau-Zelditch approximation theorem for Kähler metrics. We prove that this set is finite when M admits a non-positive Kähler–Einstein metric, in the case of non-homogenous toric Kähler-Einstein manifolds of dimension ≤ 4 and in the case of the constant scalar curvature metrics found in Arezzo and Pacard (Acta. Math. 196(2):179–228, 2006; Ann. Math. 170(2):685–738, 2009).
Ending Page	491
Page Count	19
Starting Page	473
File Format	PDF
ISSN	0232704X
e-ISSN	15729060
Journal	Annals of Global Analysis and Geometry
Issue Number	4
Volume Number	41
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-09-30
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Balanced metrics Theoretical, Mathematical and Computational Physics Kähler manifolds TYZ asymptotic expansion Constant scalar curvature metrics Geometry Hermitian and KÃ¤hlerian manifolds Statistics for Business/Economics/Mathematical Finance/Insurance Regular quantization Analysis Critical metrics Group Theory and Generalizations Differentiable maps
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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