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On Some Aspects of the Theory of Anosov Systems

Posted By: AvaxGenius
Date: 29 Jul 2023 18:50:49
On Some Aspects of the Theory of Anosov Systems

On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows by Grigoriy A. Margulis
English | PDF | 2004 | 144 Pages | ISBN : 3540401210 | 10.3 MB

In this book the seminal 1970 Moscow thesis of Grigoriy A. Margulis is published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodic theoretic techniques to study the distribution of periodic orbits of Anosov flows. The thesis introduces the "Margulis measure" and uses it to obtain a precise asymptotic formula for counting periodic orbits. This has an immediate application to counting closed geodesics on negatively curved manifolds. The thesis also contains asymptotic formulas for the number of lattice points on universal coverings of compact manifolds of negative curvature.
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Some Nonlinear Problems in Riemannian Geometry

Posted By: AvaxGenius
Date: 22 Mar 2023 18:20:46
Some Nonlinear Problems in Riemannian Geometry

Some Nonlinear Problems in Riemannian Geometry by Thierry Aubin
English | PDF (True) | 1998 | 414 Pages | ISBN : 3540607528 | 33.23 MB

During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main objective of the book is to explain some methods and new techniques, and to apply them. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber.
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A Computational Differential Geometry Approach to Grid Generation (Repost)

Posted By: AvaxGenius
Date: 13 Jun 2022 09:29:53
A Computational Differential Geometry Approach to Grid Generation (Repost)

A Computational Differential Geometry Approach to Grid Generation by Vladimir D. Liseikin
English | PDF | 2007 | 301 Pages | ISBN : 3540342354 | 4.9 MB

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by:
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Global Riemannian Geometry: Curvature and Topology: Second Edition Ed 2

Posted By: roxul
Date: 19 Aug 2020 20:36:22
Global Riemannian Geometry: Curvature and Topology: Second Edition Ed 2

Ana Hurtado, "Global Riemannian Geometry: Curvature and Topology: Second Edition Ed 2"
English | ISBN: 3030552926 | 2020 | 128 pages | PDF | 11 MB
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