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Titlebook: Riemannian Manifolds and Homogeneous Geodesics; Valerii Berestovskii,Yurii Nikonorov Book 2020 Springer Nature Switzerland AG 2020 Geodesi

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書目名稱Riemannian Manifolds and Homogeneous Geodesics
編輯Valerii Berestovskii,Yurii Nikonorov
視頻videohttp://file.papertrans.cn/831/830320/830320.mp4
概述Provides a detailed presentation of the foundations of Riemannian geometry and the theory of isometric flows on Riemannian manifolds.Gives a self-contained general introduction to the theory of homoge
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Riemannian Manifolds and Homogeneous Geodesics;  Valerii Berestovskii,Yurii Nikonorov Book 2020 Springer Nature Switzerland AG 2020 Geodesi
描述.This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses...To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces...The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups..
出版日期Book 2020
關(guān)鍵詞Geodesic orbit spaces; Generalized normal homogeneous spaces; Homogeneous spaces; Geodesics; Riemannian
版次1
doihttps://doi.org/10.1007/978-3-030-56658-6
isbn_softcover978-3-030-56660-9
isbn_ebook978-3-030-56658-6Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Book 2020ailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics a
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Riemannian Manifolds,e basic results on smooth manifolds, manifolds with covariant derivatives, and Riemannian manifolds that will be needed later. In particular, we consider the Lie algebra of smooth vector fields on smooth manifolds, the Levi-Civita connection on Riemannian manifolds, their curvature tensors, sectiona
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Isometric Flows and Killing Vector Fields on Riemannian Manifolds,ions, and the sectional and Ricci curvatures. Special attention is paid to Killing vector fields of constant length, the corresponding isometric flows on complete smooth Riemannian anifolds, and their connections with Clifford–Wolf translations.
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