On the deformed aeral spaces. — II
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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.
KeywordsGeneral Type Covariant Derivation Area Element Covariant Differentiation Aeral Space
- 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
- K. Yano,The theory of Lie-derivatives and its applications, North-Holland Pub. Co., Amsterdam (1955).Google Scholar