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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Complex Spaces in Finsler, Lagrange and Hamilton Geometries (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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Complex Spaces in Finsler, Lagrange and Hamilton Geometries (Paperback, Softcover reprint of hardcover 1st ed. 2004)
Series: Fundamental Theories of Physics, 141
Expected to ship within 10 - 15 working days
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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.
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