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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On curvature in Finsler geometry
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by Louis Auslander PDF
Trans. Amer. Math. Soc. 79 (1955), 378-388 Request permission
References
  • Louis Auslander, The use of forms in variational calculations, Pacific J. Math. 5 (1955), 853–859. MR 76192
  • Herbert Busemann, Spaces with non-positive curvature, Acta Math. 80 (1948), 259–310. MR 29531, DOI 10.1007/BF02393651
  • E. Cartan, Les espaces de Finsler, Actualités Scientifiques et Industrielles, no. 79, Paris, Hermann, 1934.
  • Shiing-shen Chern, On the Euclidean connections in a Finsler space, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 33–37. MR 8191, DOI 10.1073/pnas.29.1.33
  • S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401–404. MR 4518
  • I. J. Schoenberg, Some applications of the calculus of variations to Riemannian geometry, Ann. of Math. (2) 33 (1932), no. 3, 485–495. MR 1503071, DOI 10.2307/1968530
  • Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258
  • J. L. Synge, On the connectivity of spaces of positive curvature, The Quarterly Journal of Mathematics vol. 7 (1936) pp. 316-320.
  • J. H. C. Whitehead, On the covering of a complete space by the geodesics through a point, Ann. of Math. (2) 36 (1935), no. 3, 679–704. MR 1503245, DOI 10.2307/1968651
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 79 (1955), 378-388
  • MSC: Primary 53.1X
  • DOI: https://doi.org/10.1090/S0002-9947-1955-0071833-6
  • MathSciNet review: 0071833