On the Relationship Between Anisotropic Riemannian Metrics and Finsler Ones
2009jby | M.L. Fil'chenkov, Yu.P. Laptev  // fmichael@mail.ru

A possibility of representing Berwald-Moor type Finsler metrics as a product of two anisotropic Riemannian metrics has been considered. If spatial determinants of the Riemannian metrics vanish, then the factorization reduces space dimension. Nonzero determinants exist only in a limited interval of the Riemannian metric anisotropy parameters corresponding to complex coefficients of the Finsler metrics.

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