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Titlebook: Extrinsic Geometry of Foliations; Vladimir Rovenski,Pawe? Walczak Book 2021 Springer Nature Switzerland AG 2021 foliations.extrinsic geome

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發(fā)表于 2025-3-21 18:15:20 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Extrinsic Geometry of Foliations
編輯Vladimir Rovenski,Pawe? Walczak
視頻videohttp://file.papertrans.cn/321/320104/320104.mp4
概述Problems of prescribing the extrinsic geometry and curvature of foliations are central to the book.Presents the state of the art in geometric and analytical theory of foliations.Designed for newcomers
叢書名稱Progress in Mathematics
圖書封面Titlebook: Extrinsic Geometry of Foliations;  Vladimir Rovenski,Pawe? Walczak Book 2021 Springer Nature Switzerland AG 2021 foliations.extrinsic geome
描述.This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and variation formulas and curvature and dynamics of foliations. Different approaches and methods (local and global, regular and singular) in solving the problems are described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian and metric-affine geometries, and ‘computable‘ Finsler metrics..The book presents the state of the art in geometric and analytical theory of foliations as a continuation of the authors‘ life-long work in extrinsic geometry. ?It is designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications.? It may also be a useful supplement to
出版日期Book 2021
關鍵詞foliations; extrinsic geometry; Ricci flow; curvature; integral formulas; variation formulas; mean curvatu
版次1
doihttps://doi.org/10.1007/978-3-030-70067-6
isbn_softcover978-3-030-70069-0
isbn_ebook978-3-030-70067-6Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:38:27 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:14:16 | 只看該作者
Rosa Mu?oz-Luna,Lidia Tailleferture of a given foliation with respect to some Riemannian metric. The particular case of this quantity being identically zero (tautness) has been described separately. In the codimension-one case, the only obstructions for a scalar function to be the mean curvature of a foliation arise from Stokes’
地板
發(fā)表于 2025-3-22 07:29:17 | 只看該作者
https://doi.org/10.1007/978-94-009-2177-1ntal question (similar to the question on existence of canonical metrics on a manifold) reads as: .? Our goal here is to examine the actions on a manifold for different types of variations. Apart from varying among all metrics, we also deal with the case when the varying metric remains fixed along t
5#
發(fā)表于 2025-3-22 10:42:11 | 只看該作者
Vladimir Rovenski,Pawe? WalczakProblems of prescribing the extrinsic geometry and curvature of foliations are central to the book.Presents the state of the art in geometric and analytical theory of foliations.Designed for newcomers
6#
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7#
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Extrinsic Geometry of Foliations978-3-030-70067-6Series ISSN 0743-1643 Series E-ISSN 2296-505X
9#
發(fā)表于 2025-3-23 03:42:36 | 只看該作者
https://doi.org/10.1007/978-3-030-96486-3By . we mean the evolution of a geometric structure on a manifold under a differential equation, usually associated with curvature. These correspond to dynamical systems in the infinite-dimensional space of all appropriate geometric structures on a given manifold.
10#
發(fā)表于 2025-3-23 08:10:14 | 只看該作者
Extrinsic Geometric Flows,By . we mean the evolution of a geometric structure on a manifold under a differential equation, usually associated with curvature. These correspond to dynamical systems in the infinite-dimensional space of all appropriate geometric structures on a given manifold.
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