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Titlebook: Geometry and Analysis on Manifolds; In Memory of Profess Takushiro Ochiai,Toshiki Mabuchi,Alan Weinstein Book 2015 Springer International P

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The Weighted Laplacians on Real and Complex Metric Measure Spacesaces are considered on Fano manifolds for the study of Kähler–Einstein metrics while real metric measure spaces are considered with Bakry–Émery Ricci tensor. There are twisted Laplacians which are useful in both cases but look alike each other. We see that if we consider . complete manifolds signifi
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Locally Conformally Kähler Structures on Homogeneous Spacess from various aspects of study in the field of l.c.K. geometry. We will provide a survey of known results along with some new results and observations; in particular we make a complete classification of 4-dimensional homogeneous and locally homogeneous l.c.K. manifolds in terms of Lie algebras.
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The Donaldson–Futaki Invariant for Sequences of Test Configurations exponents l.satisfying . This then allows us to define a strong version of K-stability or K-semistability for (.). In particular, (.) will be shown to be K-semistable in this strong sense if the polarization class . admits a constant scalar curvature Kähler metric.
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Zur Definition des Begriffs “Hotel”uld be comes to mind. His original and sharp theorems read like masterpiece short stories. His writings splendidly harmonize and play like a symphony. Though I am aware of my inability to reach the height of his talent, I dare to write this article to introduce the fine personal character and remark
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Die Verdauung und der Gesamtstoffwechsel,ic geometry, since the time Kodaira accomplished his monumental work on the classification of compact complex surfaces. The current note serves as an exposition of a project towards birational classification of complex varieties of general type, which I initiated in 2008. The central role of this pr
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