Some Hermite Metrics in Complex Finsler Spaces
Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 89
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In many papers and books (as [1], [3]--[8] and others) the
complex and almost complex structures defined on real spaces are
examined. In this paper they are defined on complex Finsler spaces. The
complex Finsler space $E'$ is formed in such a way, that its tangent
space $T(E')$ is equal to $T(F_1)\oplus iT(F_2)$, where $F_1$ and $F_2$
are two $2n$-dimensional Finsler spaces. Using the nonlinear
connections $N$ and $\bar N$ of $F_1$ and $F_2$ respectively, the
adapted basis $B'$ of $T(E')$ is formed. In $T(E')$ different almost
complex structures are given and the form of the corresponding Hermite
metrics is determined.
Classification :
53B40 53B35 53B55 53B56
@article{PIM_1994_N_S_55_69_a10,
author = {Irena \v{C}omi\'c and Jovanka Niki\'c},
title = {Some {Hermite} {Metrics} in {Complex} {Finsler} {Spaces}},
journal = {Publications de l'Institut Math\'ematique},
pages = {89 },
publisher = {mathdoc},
volume = {_N_S_55},
number = {69},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a10/}
}
Irena Čomić; Jovanka Nikić. Some Hermite Metrics in Complex Finsler Spaces. Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 89 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a10/