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Homogeneous Finsler Spaces (Record no. 23117)

000 -LEADER
fixed length control field 03484nam a22003975i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151448.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120731s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461442448
978-1-4614-4244-8
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641-670
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
264 #1 -
-- New York, NY :
-- Springer New York :
-- Imprint: Springer,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Deng, Shaoqiang.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Homogeneous Finsler Spaces
Medium [electronic resource] /
Statement of responsibility, etc by Shaoqiang Deng.
300 ## - PHYSICAL DESCRIPTION
Extent XIV, 240 p. 1 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Springer Monographs in Mathematics,
International Standard Serial Number 1439-7382
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Acknowledgements -- 1. Introduction to Finsler Geometry -- 2. Lie Groups and Homogenous Spaces -- 3. The Group of Isometries -- 4. Homogeneous Finsler Spaces -- 5. Symmetric Finsler Spaces -- 6. Weakly Symmetric Finsler Spaces -- 7. Homogeneous Randers Spaces -- References -- Index.  .
520 ## - SUMMARY, ETC.
Summary, etc This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study of this rapidly developing field. The increasing activity in Finsler geometry can be attested in large part to the driving influence of S.S. Chern, its proven use in many fields of scientific study such as relativity, optics, geosciences, mathematical biology, and psychology, and its promising reach to real-world applications.  This work has potential for broad readership; it is a valuable resource not only for specialists of Finsler geometry, but also for differential geometers who are familiar with Lie theory, transformation groups, and homogeneous spaces. The exposition is rigorous, yet gently engages the reader—student and researcher alike—in developing a ground level understanding of the subject. A one-term graduate course in differential geometry and elementary topology are prerequisites. In order to enhance understanding, the author gives a detailed introduction and motivation for the topics of each chapter, as well as historical aspects of the subject, numerous well-selected examples, and thoroughly proved main results. Comments for potential further development are presented in Chapters 3–7.   A basic introduction to Finsler geometry is included in Chapter 1;  the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chapters 2–3. Then the author develops the theory of homogeneous spaces within the Finslerian framework. Chapters 4–6 deal with homogeneous, symmetric and weakly symmetric  Finsler spaces. Chapter 7  is entirely devoted to homogeneous Randers spaces,  which are good candidates for real world applications and beautiful illustrators of the developed theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Differential Geometry.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781461442431
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4614-4244-8
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library516.36