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Curvature and Betti numbers
健太郎 矢野,Salomon Bochner +1 more
TLDR
In this paper, the authors proposed a pseudo-harmonic tensors and pseudo-killing tensors in metric Manifolds with Torsion, which can be seen as a kind of semi-simple group spaces.Abstract:
*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Riemannian Manifold, pg. 2*Chapter II. Harmonic and Killing Vectors, pg. 26*Chapter III. Harmonic and Killing Tensors, pg. 59*Chapter IV. Harmonic and Killing Tensors in Flat Manifolds, pg. 77*Chapter V. Deviation from Flatness, pg. 81*Chapter VI. Semi-simple Group Spaces, pg. 90*Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion, pg. 97*Chapter VIII. Kaehler Manifold, pg. 117*Chapter IX. Supplements, pg. 170*Bibliography, pg. 187*Backmatter, pg. 192read more
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Carleman estimates for the Laplace-Beltrami equation on complex manifolds
Aldo Andreotti,Edoardo Vesentini +1 more
TL;DR: In this article, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Ricci curvature and volume convergence
TL;DR: In this paper, it was shown that the volume is a continuous function on the space of all closed n-manifolds with Ricci curvature greater or equal to -(n - 1) equipped with the GromovHausdorff metric.
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Analytic Methods in Algebraic Geometry
TL;DR: In this paper, the authors describe analytic techniques useful in the study of questions pertaining to linear series, multiplier ideals, and vanishing theorems for algebraic vector bundles, assuming that the reader is already somewhat acquainted with the basic concepts of sheaf theory, homological algebra, and complex differential geometry.
Journal ArticleDOI
Sur la structure du groupe d'homéomorphismes analytiques d'une certaine variété káhlérienne
TL;DR: In this article, a sous-algebrebrebre de Lie complexe of α is defined, which is defined as the sum of all the champs de vecteurs comformes sur V. On designera par α l’ensemble de tous les champs of vectes comforme sur V, on a On peut donc definir une structure d'algebebre de lie complexe de α en posant for tout ξ ∈ α.