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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.

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Approximation theorems, $C^ \infty$ convex exhaustions and manifolds of positive curvature
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by R. E. Greene and H. Wu PDF
Bull. Amer. Math. Soc. 81 (1975), 101-104
References
  • Jeff Cheeger and Detlef Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. (2) 96 (1972), 413–443. MR 309010, DOI 10.2307/1970819
    • 2. R. E. Greene, Proper isometric imbeddings and Lipschitz continuous exhaustions (to appear). 3. R. E. Greene and H. Wu, Curvature and complex analysis. I—III, Bull. Amer. Math. Soc. 77 (1971), 1045-1049; ibid. 78 (1972), 866-870; ibid. 79 (1973), 606-608. MR 44 #473; 45 #7657.
  • R. E. Greene and H. Wu, On the subharmonicity and plurisubharmonicity of geodesically convex functions, Indiana Univ. Math. J. 22 (1972/73), 641–653. MR 422686, DOI 10.1512/iumj.1973.22.22052
  • R. E. Greene and H. Wu, A theorem in complex geometric function theory, Value distribution theory (Proc. Tulane Univ. Program, Tulane Univ., New Orleans, La., 1972-1973) Dekker, New York, 1974, pp. 145–167. MR 0352534
  • R. E. Greene and H. Wu, Integrals of subharmonic functions on manifolds of nonnegative curvature, Invent. Math. 27 (1974), 265–298. MR 382723, DOI 10.1007/BF01425500
  • Detlef Gromoll and Wolfgang Meyer, On complete open manifolds of positive curvature, Ann. of Math. (2) 90 (1969), 75–90. MR 247590, DOI 10.2307/1970682
    • 8. W. A. Poor, Jr., Some results on nonnegatively curved manifolds, Ph. D. Thesis, State University of New York at Stony Brook, 1973.
  • Rolf Richberg, Stetige streng pseudokonvexe Funktionen, Math. Ann. 175 (1968), 257–286 (German). MR 222334, DOI 10.1007/BF02063212
    • 10. R. Walter, Local and global properties of convex sets in Riemannian spaces, Proc. Sympos. Pure Math., vol. 27, Amer. Math. Soc. Providence, R. I. (to appear).
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 81 (1975), 101-104
  • MSC (1970): Primary 53C20, 57D12; Secondary 53C55, 32F05, 31C05
  • DOI: https://doi.org/10.1090/S0002-9904-1975-13653-6
  • MathSciNet review: 0362137