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- W203660211 abstract "In this note we make a report about the utility of a new nonlin- ear connection in complex Lagrange space, which generalize the well-known Chern-Finsler complex connection. A significant result establish its relation with a complex nonlinear connec- tion previously obtained by us from the variational problem. In its turn, the complexified TC(T 0 M) is decomposed in TC(T 0 M) = T 0 (T 0 M) T 00 (T 0 M), where T 00 (T 0 M) = T 0 (T 0 M) and, therefore, our attention is focused on the (1,0) type vectors, by conjugation are obtained the vectors from T 00 u(T 0 M). Let V (T 0 M) = { 2 T 0 (T 0 M) / T ( ) = 0} be the vertical bundle of T 0 M and n @ @ i = ˙ @i o i=1,n a local base in vertical distribution Vu(T 0 M). An horizontal bundle is a supplementary subbundle of V (T 0 M), i.e. T 0 (T 0 M) = H(T 0 M) V (T 0 M) . This determines a distribution N : u ! Hu(T 0 M), called complex nonlinear connection, in brief (c.n.c.). A local base in the horizontal distribution Hu(T 0 M)" @default.
- W203660211 created "2016-06-24" @default.
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- W203660211 date "2000-01-01" @default.
- W203660211 modified "2023-09-27" @default.
- W203660211 title "ON CHERN-LAGRANGE COMPLEX CONNECTION" @default.
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