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Geometry And Analysis On Finsler Spaces by Qiaoling Xia (Hangzhou Dianzi University, China) at Abbey's Bookshop,
Geometry And Analysis On Finsler Spaces
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Qiaoling Xia (Hangzhou Dianzi University, China)

Geometry And Analysis On Finsler Spaces

Qiaoling Xia (Hangzhou Dianzi University, China)

$227.95   $182.56

Hardback

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English
World Scientific Publishing Co Pte Ltd
24 March 2025
Calculus & mathematical analysis; Geometry
Series: Nankai Tracts in Mathematics
Finsler geometry is just Riemannian geometry without a quadratic restriction. It has applications in many fields of natural sciences, including physics, psychology, and ecology. The book is intended to provide basic materials on Finsler geometry for readers and to bring them to the frontiers of active research on related topics.

This book is comprised of three parts. In Part I (Chapters 1-4), the author introduces the basics, such as Finsler metrics, the Chern connection, geometric invariant quantities, etc., and gives some rigidity results on Finsler manifolds with certain curvature properties. Part II (Chapters 5-6) covers the theory of geodesics, using which the author establishes some comparison theorems, which are fundamental tools to study global Finsler geometry. In Part III (Chapters 7-9), the author presents recent developments in nonlinear geometric analysis on Finsler spaces, partly based on the author's recent works on Finsler harmonic functions, the eigenvalue problem, and heat flow. The author has made efforts to ensure that the contents are accessible to advanced undergraduates, graduate students, and researchers who are interested in Finsler geometry.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   17
ISBN:   9789811296673
ISBN 10:   9811296677
Series:   Nankai Tracts in Mathematics
Pages:   300
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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