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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On nullity distributions
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by Sin Leng Tan
Trans. Amer. Math. Soc. 223 (1976), 323-335
DOI: https://doi.org/10.1090/S0002-9947-1976-0423393-9

Abstract:

The nullity concept of Riemannian manifolds is extended to affine manifolds. Results obtained by Chern and Kuiper and Maltz on Riemannian manifolds are generalized to affine manifolds. A structure theorem for affine symmetric spaces is obtained. Finally, the nullity concept is generalized to study the partial integrability of certain geometric structures.
References
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  • Robert Maltz, The nullity spaces of the curvature operator, Topologie et Géométrie Différentielle, Vol. 8, Centre National de la Recherche Scientifique, Paris, 1966, pp. 20. MR 0210045
  • Robert Maltz, The nullity spaces of curvature-like tensors, J. Differential Geometry 7 (1972), 519–523. MR 322740
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Bibliographic Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 223 (1976), 323-335
  • MSC: Primary 58A30; Secondary 53C05
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0423393-9
  • MathSciNet review: 0423393