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Geodesic flows (Record no. 55523)

MARC details
000 -LEADER
fixed length control field	02055 a2200265 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	210924b \|\|\|\|\| \|\|\|\| 00\| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9781461272120
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	514.74
Item number	PAT
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Paternain, Gabriel
245 ## - TITLE STATEMENT
Title	Geodesic flows
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc	Springer Science,
Date of publication, distribution, etc	1999
Place of publication, distribution, etc	New York:
300 ## - PHYSICAL DESCRIPTION
Extent	xii, 145p. ;
Other physical details	pb. ;
Dimensions	23cm.
365 ## - TRADE PRICE
Price type code	EURO
Price amount	74.99
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title	Progress in Mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc	Includes references and index
520 ## - SUMMARY, ETC.
Summary, etc	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 the referee for a very careful reading of the manuscript and for a large number of comments with corrections and suggestions for improvement
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Topology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differentiable dynamical systems
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Geodesic flows
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Manifolds
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Dynamics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Progress in Mathematics, V. 180.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme	Dewey Decimal Classification
Item type	Books

Holdings
Withdrawn status	Lost status	Source of classification or shelving scheme	Damaged status	Not for loan	Collection code	Home library	Current library	Shelving location	Date acquired	Source of acquisition	Cost, normal purchase price	Total Checkouts	Full call number	Barcode	Date last seen	Copy number	Cost, replacement price	Koha item type
		Dewey Decimal Classification			General	IIT Gandhinagar	IIT Gandhinagar	General Stacks	23/09/2021	Himanshu Books	6673.36		514.74 PAT	030725	23/09/2021	1	6673.36	Books