Complex Spaces in Finsler, Lagrange and Hamilton Geometries - download pdf or read online

By Gheorghe Munteanu

ISBN-10: 1402022050

ISBN-13: 9781402022050

ISBN-10: 9048166144

ISBN-13: 9789048166145

From a old perspective, the speculation we undergo the current learn has its origins within the well-known dissertation of P. Finsler from 1918 ([Fi]). In a the classical inspiration additionally traditional category, Finsler geometry has along with a couple of generalizations, which use an identical paintings process and that are thought of self-geometries: Lagrange and Hamilton areas. Finsler geometry had a interval of incubation lengthy sufficient, in order that few math­ ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the persistence to penetrate right into a universe of tensors, which made them examine it to a jungle. To aU folks, who research these days Finsler geometry, it's seen that the qualitative jump was once made within the 1970's via the crystallization of the nonlinear connection suggestion (a concept that is nearly as outdated as Finsler house, [SZ4]) and by means of work-skills into its tailored body fields. the consequences got by means of M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused curiosity not just in Japan, but additionally in different nations similar to Romania, Hungary, Canada and america, the place faculties of Finsler geometry are based and are almost immediately broadly recognized.

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Complex Spaces in Finsler, Lagrange and Hamilton Geometries (Fundamental Theories of Physics) by Gheorghe Munteanu


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