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Titlebook: Geometry of Manifolds with Non-negative Sectional Curvature; Editors: Rafael Herr Owen Dearricott,Fernando Galaz-García,Wolfgang Zil Book 2

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书目名称Geometry of Manifolds with Non-negative Sectional Curvature
副标题Editors: Rafael Herr
编辑Owen Dearricott,Fernando Galaz-García,Wolfgang Zil
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Geometry of Manifolds with Non-negative Sectional Curvature; Editors: Rafael Herr Owen Dearricott,Fernando Galaz-García,Wolfgang Zil Book 2
描述Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
出版日期Book 2014
关键词53C21;57S25;53C23;58A15;58A20; 22Exx;22Fxx,53Cxx;; Cohomogeneity one action; Lie group action; Non-negat
版次1
doihttps://doi.org/10.1007/978-3-319-06373-7
isbn_softcover978-3-319-06372-0
isbn_ebook978-3-319-06373-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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On the Hopf Conjecture with Symmetry,r the assumption that a torus of sufficiently large dimension acts by isometries. This improves previous results by replacing linear bounds by a logarithmic bound. The new method that is introduced is the use of Steenrod squares combined with geometric arguments of a similar type to what was done be
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An Introduction to Exterior Differential Systems, this introduction we construct the contact systems on several kinds of jet bundles in order to reduce general partial differential equations to exterior differential systems. Moreover we discuss the algebraic properties of the Spencer cohomology associated to an exterior differential system and ske
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Riemannian Manifolds with Positive Sectional Curvature,Of special interest in the history of Riemannian geometry have been manifolds with positive sectional curvature. In these notes we give a survey of this subject and recent developments.
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