On curvature in Finsler geometry
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- by Louis Auslander
- Trans. Amer. Math. Soc. 79 (1955), 378-388
- DOI: https://doi.org/10.1090/S0002-9947-1955-0071833-6
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References
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- 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
Bibliographic 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