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Proceedings of the American Mathematical Society

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On affinely connected manifolds whose torsion can be transformed into constant components


Author: M. Pinl
Journal: Proc. Amer. Math. Soc. 11 (1960), 505-510
MSC: Primary 53.00
MathSciNet review: 0114185
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  • [1] R. Weitzenböck, Invariantentheorie, Groningen, 1923, p. 340.
  • [2] G. Vrănceanu, Leçons de géométrie différentielle, 2 Vols., Éditions de l’ Académie de la République Populaire Roumaine, Bucharest, 1957 (French). MR 0124823
  • [3] M. J. Pinl, Geodesic coordinates and rest systems for general linear connections, Duke Math. J. 18 (1951), 557–562. MR 0042189
  • [4] Luther Pfahler Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, N. J., 1949. 2d printing. MR 0035081
  • [5] A. P. Norden, Prostranstva afinoĭ sviaznosti, Dokl. Akad. Nauk SSSR vol. 50 (1945) p. 37; Moscou, 1950, §§76-77.
  • [6] C. Jankiewicz, Sur les espaces riemanniens dégénérés, Bull. Acad. Polon. Sci. Cl. III. 2 (1954), 301–304 (French). MR 0063726
  • [7] M. Pinl, Über lineare Übertragungen mit fallweise konstanter Torsion, J. Reine Angew. Math. 204 (1960), 108–115 (German). MR 0125537

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DOI: https://doi.org/10.1090/S0002-9939-1960-0114185-2
Article copyright: © Copyright 1960 American Mathematical Society