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Ein Einschliessungssatz für \(H\)-Flächen in Riemannschen Mannigfaltigkeiten. (German) Zbl 0218.53068


MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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References:

[1] GROMOLL, D., KLINGENBERG, W., MEYER, W.: Riemannsche Geometrie im Großen. Lecture Notes in Mathematics. Berlin-Heidelberg-New York: Springer 1968. · Zbl 0155.30701
[2] HEINZ, E., HILDEBRANDT, S.: On the number of branch points of surfaces of bounded mean curvature. J. Diff. Geom.4, 227-235 (1970). · Zbl 0195.23003
[3] HILDEBRANDT, S.: Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. Math. Z.115, 169-178 (1970). · Zbl 0191.20504 · doi:10.1007/BF01109855
[4] KARCHER, H.: Anwendungen der Alexandrowschen Winkelvergleichssätze. Manuscr. math.2, 77-102 (1970). · Zbl 0185.25803 · doi:10.1007/BF01168481
[5] KAUL, H.: Isoperimetrische Ungleichung und Gauß-Bonnet-Formel für H-Flächen in Riemannschen Mannigfaltigkeiten. Arch. Rat. Mech. Analysis (1971). Erscheint demnächst.
[6] LAWSON, H. B.: The global behavior of minimal surfaces in Sn. Ann. Math.92, 224-237 (1970). · Zbl 0205.51902 · doi:10.2307/1970835
[7] SERRIN, J.: On surfaces of constant mean curvature which span a given space curve. Math. Z.112, 77-88 (1969). · Zbl 0182.24001 · doi:10.1007/BF01115033
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