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Titlebook: Geodesic Flows; Gabriel P. Paternain Book 1999 Springer Science+Business Media New York 1999 Fundamental group.Loop group.Riemannian manif

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發(fā)表于 2025-3-21 16:38:14 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Geodesic Flows
編輯Gabriel P. Paternain
視頻videohttp://file.papertrans.cn/384/383098/383098.mp4
叢書(shū)名稱Progress in Mathematics
圖書(shū)封面Titlebook: Geodesic Flows; Gabriel P. Paternain Book 1999 Springer Science+Business Media New York 1999 Fundamental group.Loop group.Riemannian manif
描述The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane‘s formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered in a one-semester course. I have in mind an audience with prior exposure to the fundamentals of Riemannian geometry and dynamical systems. I am very grateful for the assistance and criticism of several people in preparing the text. In particular, I wish to thank Leonardo Macarini and Nelson Moller who helped me with the writing of the first two chapters and the figures. Gonzalo Tomaria caught several errors and contributed with helpful suggestions. Pablo Spallanzani wrote solutions to several of the exercises. I have used his solutions to write many of the hints and answers. I also wish to thank
出版日期Book 1999
關(guān)鍵詞Fundamental group; Loop group; Riemannian manifold; curvature; differential geometry; dynamical systems; e
版次1
doihttps://doi.org/10.1007/978-1-4612-1600-1
isbn_softcover978-1-4612-7212-0
isbn_ebook978-1-4612-1600-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 1999
The information of publication is updating

書(shū)目名稱Geodesic Flows影響因子(影響力)




書(shū)目名稱Geodesic Flows影響因子(影響力)學(xué)科排名




書(shū)目名稱Geodesic Flows網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱Geodesic Flows網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱Geodesic Flows被引頻次




書(shū)目名稱Geodesic Flows被引頻次學(xué)科排名




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發(fā)表于 2025-3-21 21:31:04 | 只看該作者
,Die Molybd?n- und Vanadinst?hle,In this chapter we introduce the counting functions and we relate them to the topological entropy ..(.) of the geodesic flow of ..
板凳
發(fā)表于 2025-3-22 04:27:53 | 只看該作者
Heinz Ismar,Günther Lange,Wilhelm KrelleIn this chapter we present a proof of Ma?é’s formula for geodesic flows and convex billiards. The proof rests on the twist property of the vertical subbundle that we described in Chapter 2, Pesin’s theory which enters via Przytycki’s inequality and a very clever change of variables which is useful also in other situations (cf. Proposition 4.8).
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,Ma?é’s Formula for Geodesic Flows and Convex Billiards,In this chapter we present a proof of Ma?é’s formula for geodesic flows and convex billiards. The proof rests on the twist property of the vertical subbundle that we described in Chapter 2, Pesin’s theory which enters via Przytycki’s inequality and a very clever change of variables which is useful also in other situations (cf. Proposition 4.8).
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