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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

The isoperimetric theorem for curves on minimal surfaces
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by G. D. Chakerian PDF
Proc. Amer. Math. Soc. 69 (1978), 312-313 Request permission

Abstract:

A short proof is given for a sharpened form of the isoperimetric inequality for curves on minimal surfaces.
References
  • Wilhelm Blaschke, Kreis und Kugel, Chelsea Publishing Co., New York, 1949 (German). MR 0076364
  • Alexander Dinghas, Über Minimalabbildungen von Gebieten der komplexen Ebene in einen Hilbert-Raum, Jber. Deutsch. Math.-Verein. 67 (1964/65), no. Abt. 1, 43–48 (German). MR 177319
  • Kit Hanes, Isoperimetric inequalities for manifolds with boundary, J. Differential Geometry 7 (1972), 525–534. MR 334081
  • Chuan-chih Hsiung, Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary, Ann. of Math. (2) 73 (1961), 213–220. MR 130637, DOI 10.2307/1970287
  • Robert Osserman, Isoperimetric and related inequalitites, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 1, Stanford Univ., Stanford, Calif., 1973) Amer. Math. Soc., Providence, R.I., 1975, pp. 207–215. MR 0385686
  • William T. Reid, The isoperimetric inequality and associated boundary problems, J. Math. Mech. 8 (1959), 897–905. MR 0130623, DOI 10.1512/iumj.1959.8.58057
  • Horst Sachs, Ungleichungen für Umfang, Flächeninhalt und Trägheitsmoment konvexer Kurven, Acta Math. Acad. Sci. Hungar. 11 (1960), 103–115 (German, with Russian summary). MR 140002, DOI 10.1007/BF02020628
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 312-313
  • MSC: Primary 53A10; Secondary 52A40
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0474052-5
  • MathSciNet review: 0474052