Geodesic
Some Hermite Metrics in Complex Finsler Spaces
Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 89

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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 
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     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/}
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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/