A general space based on the Line Element
See also Finsler Metric, Hodge's Theorem, Riemannian Geometry, Tangent Bundle
References
Akbar-Zadeh, H. ``Sur les espaces de Finsler à courbures sectionnelles constantes.''
Acad. Roy. Belg. Bull. Cl. Sci. 74, 281-322, 1988.
Bao, D.; Chern, S.-S.; and Shen, Z. (Eds.). Finsler Geometry. Providence, RI: Amer. Math. Soc., 1996.
Chern, S.-S. ``Finsler Geometry is Just Riemannian Geometry without the Quadratic Restriction.''
Not. Amer. Math. Soc. 43, 959-963, 1996.
Iyanaga, S. and Kawada, Y. (Eds.). ``Finsler Spaces.'' §161 in
Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 540-542, 1980.