Gheorghe Munteanu

(Author)

Complex Spaces in Finsler, Lagrange and Hamilton GeometriesPaperback, 8 December 2010

Complex Spaces in Finsler, Lagrange and Hamilton Geometries
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Part of Series
Fundamental Theories of Physics
Print Length
228 pages
Language
English
Publisher
Springer
Date Published
8 Dec 2010
ISBN-10
9048166144
ISBN-13
9789048166145

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.

Product Details

Author:
Gheorghe Munteanu
Book Format:
Paperback
Country of Origin:
NL
Date Published:
8 December 2010
Dimensions:
23.39 x 15.6 x 1.3 cm
ISBN-10:
9048166144
ISBN-13:
9789048166145
Language:
English
Location:
Dordrecht
Pages:
228
Publisher:
Weight:
344.73 gm

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