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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Sectional curvature in piecewise linear manifolds


Author: David A. Stone
Journal: Bull. Amer. Math. Soc. 79 (1973), 1060-1063
MSC (1970): Primary 53C70, 57C99; Secondary 53C45
MathSciNet review: 0320974
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  • 1. A. D. Aleksandrov and V. A. Zalgaller, Intrinsic geometry of surfaces, Translated from the Russian by J. M. Danskin. Translations of Mathematical Monographs, Vol. 15, American Mathematical Society, Providence, R.I., 1967. MR 0216434 (35 #7267)
  • 2. Élie Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1951 (French). 2d ed. MR 0044878 (13,491e)
  • 3. H. R. Gluck, Piecewise linear methods in Riemannian geometry, Mimeographed Notes, University of Pennsylvania, Philadelphia, Pa., 1972.
  • 4. M. Hirsch and B. Mazur, Smoothings of piecewise-linear manifolds, Mimeographed Notes, Cambridge, 1964.
  • 5. J. Milnor, Morse theory, Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. MR 0163331 (29 #634)
  • 6. S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401–404. MR 0004518 (3,18f)
  • 7. Alexandre Preissman, Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv. 15 (1943), 175–216 (French). MR 0010459 (6,20g)
  • 8. Willi Rinow, Die innere Geometrie der metrischen Räume, Die Grundlehren der mathematischen Wissenschaften, Bd. 105, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0123969 (23 #A1290)
  • 9. John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488. MR 0149457 (26 #6945)
  • 10. J. L. Synge, On the connectivity of spaces of positive curvature, Quart. J. Math. 7 (1936), 316-320.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13331-2
PII: S 0002-9904(1973)13331-2