An Introduction to Riemann-Finsler Geometry

Z. Shen, D. Bao, S.-S. Chern

ISBN 10: 1461270707 / ISBN 13: 9781461270706

Edité par Springer-Verlag New York Inc., US, 2012

A propos de cet article

Softcover reprint of the original 1st ed. 2000.

N° de réf. du vendeur LU-9781461270706

Détails bibliographiques

• Titre: An Introduction to Riemann-Finsler Geometry
• Éditeur: Springer-Verlag New York Inc., US
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1461270707
• ISBN à 13 chiffres: 9781461270706
• Reliure: Paperback
• État de l'article: New
• Dimensions: 15,5 L x 2,64 H x 23,5 P (centimètres) 15,5 centimètres de largeur par 2,64 centimètres de hauteur par 23,5 centimètres de profondeur

A propos de ce titre

Synopsis

PRELIMINARY TEXT. DO NOT USE. Finsler geometry is a metric generalization of Riemannian geometry and has become a comparatively young branch of differential geometry. Although Finsler geometry has its genesis in Riemann's 1854 "Habilitationsvortrag," its systematic study was not initiated until 1918 by Finsler, and the fundamentals were not completely formulated until the mid-thirties. Later, however, the field underwent a rapid development by mathematicians and physicists of many countries. The main purpose of this book is to study the metric geometry of Finsler manifolds. Portions of the book generalize some standard concepts from Riemannian geometry to the Finsler setting, while other

Présentation de l'éditeur

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ? " EMS Newsletter.