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Some intrinsic characterizations of minimal surfaces. (English) Zbl 0251.53003

MSC:
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
49Q05 Minimal surfaces and optimization
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[1] W. Blaschke, Einführung in die Differentialgeometrie, Springer, Berlin, 1950. · Zbl 0041.28804
[2] E. Calabi, Isometric imbedding of complex manifolds,Ann. of Math.,58 (1953), 1–23. · Zbl 0051.13103 · doi:10.2307/1969817
[3] –, Quelques applications de l’analyse complexe aux surfaces d’aire minima, Topics in complex manifolds, Univ. of Montreal Press, Montreal, 1967, 58–81.
[4] S. S. Chern and R. Osserman, Complete minimal surfaces in Euclideann-space,J. d’Analyse Math.,19 (1967), 15–34. · Zbl 0172.22802 · doi:10.1007/BF02788707
[5] H. B. Lawson, Jr.,Minimal varieties in constant curvature manifolds, Ph.D. Thesis, Stanford University, 1968.
[6] M. Pinl, Über einen Satz von G. Ricci-Curbastro und die Gaussche Krummung der Minimalflächen,Arch. Math.,4 (1953), 369–373. · Zbl 0053.29402 · doi:10.1007/BF01899252
[7] –, Über einen Satz von G. Ricci-Curbastro und die Gaussche Krummung der Minimalflächen, II,Arch. Math.,15 (1964), 232–240. · Zbl 0121.16402 · doi:10.1007/BF01589191
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