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New Developments in Differential Geometry pp 391–397Cite as

Curvature of submanifolds in point Finsler spaces

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 350))

Abstract

A point Finsler space is one in which vectors are defined at points and not at line-elements. We construct a curvature for submanifolds in these spaces endowed with a connection, and we show that this is a generalization of the Gauss curvature from Riemannian geometry.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics Lajos Kossuth, University Debrecen, H-4010, Debrecen, Pf.12, Hungary

    L. Tamássy

Authors
  1. L. Tamássy
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Informatics, Lajos Kossuth University, Debrecen, Hungary

    L. Tamássy

  2. Department of Geometry, Lóránd Eötvös University, Budapest, Hungary

    J. Szenthe

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© 1996 Kluwer Academic Publishers

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Tamássy, L. (1996). Curvature of submanifolds in point Finsler spaces. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_32

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  • DOI: https://doi.org/10.1007/978-94-009-0149-0_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6553-5

  • Online ISBN: 978-94-009-0149-0

  • eBook Packages: Springer Book Archive

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