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Field name	Details
Dewey Class	516.36
Title	Homogeneous Finsler Spaces ([Ebook]) / by Shaoqiang Deng.
Author	Deng, Shaoqiang
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2012.
Physical Details	XIV, 240 pages, 1 illus. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781461442448
Summary Note	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.Â 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 readerâstudent and researcher alikeâin 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 3â7.Â Â A basic introduction to Finsler geometry is included in Chapter 1;Â the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chapters 2â3. Then the author develops the theory of homogeneous spaces within the Finslerian framework. Chapters 4â6 deal with homogeneous, symmetric and weakly symmetricÂ Finsler spaces. Chapter 7Â is entirely devoted to homogeneous Randers spaces,Â which are good candidates for real world applications and beautiful illustrators of the developed theory.:
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. Â .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-4244-8
Links to Related Works	Subject References: Differential Geometry . Global differential geometry . Mathematics . Authors: Deng, Shaoqiang . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516.36 . 516.36 (DDC 23) .

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Homogeneous Finsler Spaces

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