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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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.

 

Sectional curvature in piecewise linear manifolds
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by David A. Stone PDF
Bull. Amer. Math. Soc. 79 (1973), 1060-1063
References
  • A. D. Aleksandrov and V. A. Zalgaller, Intrinsic geometry of surfaces, Translations of Mathematical Monographs, Vol. 15, American Mathematical Society, Providence, R.I., 1967. Translated from the Russian by J. M. Danskin. MR 0216434
  • Élie Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1951 (French). 2d ed. MR 0044878
  • 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.
  • J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331, DOI 10.1515/9781400881802
  • S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401–404. MR 4518, DOI 10.1215/S0012-7094-41-00832-3
  • Alexandre Preissmann, Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv. 15 (1943), 175–216 (French). MR 10459, DOI 10.1007/BF02565638
  • Willi Rinow, Die innere Geometrie der metrischen Räume, Die Grundlehren der mathematischen Wissenschaften, Band 105, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1961. MR 0123969, DOI 10.1007/978-3-662-11499-5
  • John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481–488. MR 149457, DOI 10.1017/S0305004100036756
  • 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
  • Journal: Bull. Amer. Math. Soc. 79 (1973), 1060-1063
  • MSC (1970): Primary 53C70, 57C99; Secondary 53C45
  • DOI: https://doi.org/10.1090/S0002-9904-1973-13331-2
  • MathSciNet review: 0320974