Author: Zhongmin She
Publisher: World Scientific Publishing Company
Keywords: geometry, finsler, lectures
Number of Pages: 307
Published: 2001-05-01
List price: unknow
ISBN-10: 9810245300
ISBN-13: 9789810245306

In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann’s notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler’s categ

Author: Zhongmin Wu
Publisher: Routledge
Keywords: economy, chinese, studies, routledge, china, world
Number of Pages: 344
Published: 2009-05-08
List price: $190.00
ISBN-10: 0415470021
ISBN-13: 9780415470025

China’s economy continues to grow at a great rate, with important consequences for China’s society and environment, as well as for the wider world economy. Reforms are being undertaken in many areas within China, both to encourage continued economic growth and also to mitigate the adverse effects of growth on society and the environment. This book, based on extensive original research by a wide range of leading experts, examines many key issues connected to China’s economic growth and its impact. Subjects covered amongst many others include: growth and inequality; labour mark

Author: Zhongmin Shen
Publisher: World Scientific Publishing Company
Keywords: multivariate, analysis, series, geometry, finsler, lectures
Number of Pages: 324
Published: 2001-05
List price: $40.00
ISBN-10: 9810245319
ISBN-13: 9789810245313

In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann’s notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler’s categ

Author: Zhongmin Shen
Publisher: Springer
Keywords: spaces, finsler, spray, geometry, differential
Number of Pages: 268
Published: 2001-03-31
List price: $145.00
ISBN-10: 0792368681
ISBN-13: 9780792368687

This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry are treated as the special case of Finsler geometry. The geometric methods developed in this subject are useful for studying some problems arising from biology, physics, and other fields. Audience: The book will be of interest to graduate students and mathematicians in geometry who wish to go beyond the Riemannian world. Scientists in nature sciences will find the geometric methods presented useful.

Authors:David Dai-Wai Bao, Shiing-Shen Chern, Zhongmin Shen,
Publisher: Springer
Keywords: texts, mathematics, graduate, geometry, riemann, finsler, introduction
Number of Pages: 431
Published: 2000-03-17
List price: $84.95
ISBN-10: 038798948X
ISBN-13: 9780387989488

In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So yardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitf