Complex Spaces in Finsler, Lagrange and Hamilton Geometries

By:

Gheorghe Munteanu

Format:

Hardback

Series:

Fundamental Theories of Physics

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Description

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ([Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a jungle. To aU of us, who study nowadays Finsler geometry, it is obvious that the qualitative leap was made in the 1970's by the crystallization of the nonlinear connection notion (a notion which is almost as old as Finsler space, [SZ4]) and by work-skills into its adapted frame fields. The results obtained by M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused interest not only in Japan, but also in other countries such as Romania, Hungary, Canada and the USA, where schools of Finsler geometry are founded and are presently widely recognized.

Release date Australia

July 20th, 2004

Author

Gheorghe Munteanu

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XII, 228 p.

Pages

228

Series

Fundamental Theories of Physics

Dimensions

210x297x14

ISBN-13

9781402022050

Product ID

3132397

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