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Lebesgue Measure and Regular Mappings in Finsler Spaces

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Lagrange and Finsler Geometry

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 76))

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Abstract

As in the riemannian case, we can consider a Lebesgue measure on a Finsler space, and thus, we can study regular and quasiconformal mappings in a more general conditions. We give some characterization theorems which establish the relations between different definitions of quasiconformality.

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References

  1. V.T. Borcea and A. Neagu, Deformarea unghiurilor Şi aplicaçii cvasiconforme pe varietAçi riemanniene, Studii,ri comunicâri,ctiinlifice, Back, (1987) 42–47.

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  2. P. Caraman, n-Dimensional Quasiconformal Mappings, Ed. Acad. Bucuresti, Romania and Abacus Press Tundbridge, Wells, Kent, England, 1974.

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  3. A. Neagu and V.T. Borcea, Some Considerations About Regular Mappings of Finsler Spaces, Rev. Roum. Math. Pures Appl.to appear.

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  4. K. Suominen, Quasiconformal Mappings in Manifolds, Ann. Acad. Sci. Fenn., 393 (1966), 5–39.

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  5. J. Väisälä, Lectures on n-Dimensional Quasiconformal Mappings, Lecture Notes in Math., Springer-Verlag, Berlin-Heidelberg-New York, 229 (1971).

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© 1996 Springer Science+Business Media Dordrecht

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Neagu, A., Borcea, V.T. (1996). Lebesgue Measure and Regular Mappings in Finsler Spaces. In: Antonelli, P.L., Miron, R. (eds) Lagrange and Finsler Geometry. Fundamental Theories of Physics, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8650-4_17

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  • DOI: https://doi.org/10.1007/978-94-015-8650-4_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4656-7

  • Online ISBN: 978-94-015-8650-4

  • eBook Packages: Springer Book Archive

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