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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Minimality of geodesics in Grassmann manifolds
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by Horacio Porta and Lázaro Recht
Proc. Amer. Math. Soc. 100 (1987), 464-466
DOI: https://doi.org/10.1090/S0002-9939-1987-0891146-6
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Abstract:

In the Grassmann manifold of an arbitrary ${C^ * }$-algebra, the geodesics of length less than $\pi$ are curves of minimal length.
References
  • William Arveson, An invitation to $C^*$-algebras, Graduate Texts in Mathematics, No. 39, Springer-Verlag, New York-Heidelberg, 1976. MR 0512360
  • Joseph A. Wolf, Spaces of constant curvature, 2nd ed., University of California, Department of Mathematics, Berkeley, Calif., 1972. MR 0343213
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 100 (1987), 464-466
  • MSC: Primary 46L05; Secondary 58B20
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0891146-6
  • MathSciNet review: 891146