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Annali di Matematica Pura ed Applicata

, Volume 92, Issue 1, pp 29–36 | Cite as

Special congruence in a subspace of a finsler space

  • C. M. Prasad
Article

Summary

G. Tsagas[5] obtained the special curves in a Riemannian hypersurface. In the present paper, twofold generalizations of these curves have been obtained and as such special and secondary special congruences with respect to a curve C in Finsler subspace are introduced. When a special congruence becomes a λ-geodesic[2] is also discussed.

Keywords

Finsler Space Special Curve Twofold Generalization Special Congruence Riemannian Hypersurface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [1]
    H. A. Eliopoulos Subspaces of a generalised metric space, Can. J. Math.,9, no. 2 (1959), pp. 235–255.MathSciNetGoogle Scholar
  2. [2]
    C. M. Prasad,Union congruence in a subspace of a Finsler space, Annali di Matematica,88 (1971), pp. 143–154.CrossRefzbMATHGoogle Scholar
  3. [3]
    C. M. Prasad,On Δ-curvatures and Δ-geodesic principal directions of a congruence in a Finsler space, communicated in Rev. Fac. Sci. Univ. Istanbul.Google Scholar
  4. [4]
    H. Rund,The Differential Geometry of Finsler Spaces, Springer-Verlag (1959).Google Scholar
  5. [5]
    G. Tsagas,Special curves of a hypersurface of a Riemannian space, Tensor (N. S.),20 (1969), pp. 88–90.zbMATHMathSciNetGoogle Scholar

Copyright information

© Nicola Zanichelli Editore 1972

Authors and Affiliations

  • C. M. Prasad
    • 1
  1. 1.GorakhpurIndia

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