Complex Spaces in Finsler, Lagrange and Hamilton Geometries (Hardcover, 2004 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Fundamental Theories of Physics, 141
Release date:	July 2004
First published:	2004
Authors:	Gheorghe Munteanu
Dimensions:	297 x 210 x 14mm (L x W x T)
Format:	Hardcover
Pages:	228
Edition:	2004 ed.
ISBN-13:	978-1-4020-2205-0
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Promotions
LSN:	1-4020-2205-0
Barcode:	9781402022050

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