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Annali di Matematica Pura ed Applicata

, Volume 109, Issue 1, pp 135–146 | Cite as

On the deformed aeral spaces. — II

  • Om P. Singh
Article

Summary

This paper deals with the generalization of the Lie-derivatives in an Areal space of the general type with the use of the m-dimensional area element pi[m] and thereafter the theory of the deformed Areal spaces and the covariant derivations in it have been discussed. Moreover, several commutation formulae concerning the operators of Lie and covariant differentiations have been deduced here.

Keywords

General Type Covariant Derivation Area Element Covariant Differentiation Aeral Space 
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]
    Om. P. Singh,On the deformed areal spaces, Publicationes Mathematicae, Debrecen,19 (1972), pp. 43–59.MathSciNetGoogle Scholar
  2. [2]
    A. Kawaguchi -Y. Katsurada,On areal spaces - IV:Connection parameters in an areal space of general type, Tensor, N.S.,1 (1951), pp. 137–156.MathSciNetGoogle Scholar
  3. [3]
    A. Kawaguchi,An introduction to the theory of areal spaces, Seminary note of the geometrical researching group, No. 1, Faculty of Sciences, Hakkaido University (1964).Google Scholar
  4. [4]
    T. Igarashi,On Lie-derivatives in areal spaces, Tensor, N.S.,18 (1967), pp. 205–211.zbMATHMathSciNetGoogle Scholar
  5. [5]
    Om P. Singh,On the homothetic transformations in Areal spaces of the submetric class, Publicationes Mathematicae, Debrecen,20 (1973), pp. 1–12.zbMATHMathSciNetGoogle Scholar
  6. [6]
    K. Yano,The theory of Lie-derivatives and its applications, North-Holland Pub. Co., Amsterdam (1955).Google Scholar

Copyright information

© Fondazione Annali di Matematica Para ed Applicata 1975

Authors and Affiliations

  • Om P. Singh
    • 1
  1. 1.AgraIndia

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