Titlebook: Differential Geometry and Relativity; A Volume in Honour o M. Cahen,M. Flato Book 1976 D. Reidel Publishing Company, Dordrecht, Holland 197

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On Lie Transformation Groups and the Covariance of Differential Operatorssics, we were led to study the actions of a group of transformations of a manifold . (the space-time in general relativity) on the sections of a vector bundle over . (the tensor or spinor fields of a given type). Several equivalent characterizations of these actions are given. A similar study is made for a Lie algebra of vector fields.

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Geometrical Interpretations of Scalar Curvature and Regularity of Conformal Homeomorphismsprove that every conformal homeomorphism of .. manifolds is of .. class. Up to now, it seems that this result has been proved only in the euclidean case by Y. G. Resetnyak [7] and F. W. Gehring [3]. We plan in this paper to solve the general case by a method analogous to the one of Resetnyak.

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https://doi.org/10.1007/978-94-010-1508-0curvature; differential geometry; geometry; manifold; mathematical physics; mechanics; operator; quantum me

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