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Titlebook: Kähler-Einstein Metrics and Integral Invariants; Akito Futaki Book 1988 Springer-Verlag Berlin Heidelberg 1988 Grad.Invariant.Lie.Microsof

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书目名称Kähler-Einstein Metrics and Integral Invariants
编辑Akito Futaki
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Kähler-Einstein Metrics and Integral Invariants;  Akito Futaki Book 1988 Springer-Verlag Berlin Heidelberg 1988 Grad.Invariant.Lie.Microsof
描述These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.
出版日期Book 1988
关键词Grad; Invariant; Lie; Microsoft Access; Simon; Vector field; algebra; boundary element method; curvature; eXi
版次1
doihttps://doi.org/10.1007/BFb0078084
isbn_softcover978-3-540-19250-3
isbn_ebook978-3-540-39172-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1988
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inal and path-breaking in content, such as Levy‘s and Doob‘s well-known examples, and those which aim primarily to assimilate known material, such as Loeve‘s and more recently Rogers and Williams‘. Seen in this light, Kallenberg‘s present book would have to qualify as the assimilation of probability
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Akito Futakiinal and path-breaking in content, such as Levy‘s and Doob‘s well-known examples, and those which aim primarily to assimilate known material, such as Loeve‘s and more recently Rogers and Williams‘. Seen in this light, Kallenberg‘s present book would have to qualify as the assimilation of probability
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Akito Futakin linear estimate that takes the form of the convolution of observations with a time-invariant filter. It was shown by Juditsky and Nemirovski [.] that when the .-norm of the oracle filter is small enough, such oracle can be “mimicked” by an efficiently computable . estimate of the same structure wi
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Akito Futakir mikroskopischen Wahrnehmung” in ., the problem of optical resolution enjoyed abiding attention with the latest wave of interest started by experimental confirmation of super-resolution microscopy more than a century later. This breakthrough has challenged conventional notions of resolution which d
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