Geometry And Analysis On Finsler Spaces

ISBN : 9789811296673

Author : Qiaoling Xia

Publisher : World Scientific

Year : 2025

Language : English

Type : Book

Description : 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,

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