On The Geometry Of Simple Closed Geodesics
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On The Geometry Of Simple Closed Geodesics
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Author : Hugo Parlier
language : en
Publisher:
Release Date : 2004
On The Geometry Of Simple Closed Geodesics written by Hugo Parlier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Geometry And Spectra Of Compact Riemann Surfaces
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Author : Peter Buser
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-29
Geometry And Spectra Of Compact Riemann Surfaces written by Peter Buser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-29 with Mathematics categories.
This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.
Geometry Of Geodesics And Related Topics
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Author : Katsuhiro Shiohama
language : en
Publisher: Elsevier Science & Technology
Release Date : 1984
Geometry Of Geodesics And Related Topics written by Katsuhiro Shiohama and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Curves on surfaces categories.
This third volume in the Japanese symposia series surveys recent advances in five areas of Geometry, namely Closed geodesics, Geodesic flows, Finiteness and uniqueness theorems for compact Riemannian manifolds, Hadamard manifolds, and Topology of complete noncompact manifolds.
The Geometry Of Geodesics
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Author : Herbert Busemann
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
The Geometry Of Geodesics written by Herbert Busemann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Lectures On Closed Geodesics
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Author : W. Klingenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Closed Geodesics written by W. Klingenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The question of existence of c10sed geodesics on a Riemannian manifold and the properties of the corresponding periodic orbits in the geodesic flow has been the object of intensive investigations since the beginning of global differential geo metry during the last century. The simplest case occurs for c10sed surfaces of negative curvature. Here, the fundamental group is very large and, as shown by Hadamard [Had] in 1898, every non-null homotopic c10sed curve can be deformed into a c10sed curve having minimallength in its free homotopy c1ass. This minimal curve is, up to the parameterization, uniquely determined and represents a c10sed geodesic. The question of existence of a c10sed geodesic on a simply connected c10sed surface is much more difficult. As pointed out by Poincare [po 1] in 1905, this problem has much in common with the problem ofthe existence of periodic orbits in the restricted three body problem. Poincare [l.c.] outlined a proof that on an analytic convex surface which does not differ too much from the standard sphere there always exists at least one c10sed geodesic of elliptic type, i. e., the corres ponding periodic orbit in the geodesic flow is infinitesimally stable.
Riemannian Geometry
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Author : Wilhelm P.A. Klingenberg
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03
Riemannian Geometry written by Wilhelm P.A. Klingenberg and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
Families Of Riemann Surfaces And Weil Petersson Geometry
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Author : Scott A. Wolpert
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Families Of Riemann Surfaces And Weil Petersson Geometry written by Scott A. Wolpert and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Provides a generally self-contained course for graduate students and postgraduates on deformations of hyperbolic surfaces and the geometry of the Weil-Petersson metric. It also offers an update for researchers; material not otherwise found in a single reference is included; and aunified approach is provided for an array of results.
The Geometry And Combinatorics Of Closed Geodesics On Hyperbolic Surfaces
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Author : Chris Arettines
language : en
Publisher:
Release Date : 2015
The Geometry And Combinatorics Of Closed Geodesics On Hyperbolic Surfaces written by Chris Arettines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Geometry Of The Generalized Geodesic Flow And Inverse Spectral Problems
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Author : Vesselin M. Petkov
language : en
Publisher: John Wiley & Sons
Release Date : 2017-01-30
Geometry Of The Generalized Geodesic Flow And Inverse Spectral Problems written by Vesselin M. Petkov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-30 with Mathematics categories.
This book is a new edition of a title originally published in1992. No other book has been published that treats inverse spectral and inverse scattering results by using the so called Poisson summation formula and the related study of singularities. This book presents these in a closed and comprehensive form, and the exposition is based on a combination of different tools and results from dynamical systems, microlocal analysis, spectral and scattering theory. The content of the first edition is still relevant, however the new edition will include several new results established after 1992; new text will comprise about a third of the content of the new edition. The main chapters in the first edition in combination with the new chapters will provide a better and more comprehensive presentation of importance for the applications inverse results. These results are obtained by modern mathematical techniques which will be presented together in order to give the readers the opportunity to completely understand them. Moreover, some basic generic properties established by the authors after the publication of the first edition establishing the wide range of applicability of the Poison relation will be presented for first time in the new edition of the book.
Lectures On Closed Geodesics
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Author : Wilhelm Klingenberg
language : en
Publisher: Springer
Release Date : 1978
Lectures On Closed Geodesics written by Wilhelm Klingenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.