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The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. (English) Zbl 0439.53060


MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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References:

[1] Barbosa, Amer. J. Math. 98 pp 515– (1976)
[2] Bernstein, Comm. Soc. Math. Kharkov 15 pp 38– (1915)
[3] Cheeger, J. Diff. Geom. 6 pp 119– (1971)
[4] Minimal submanifolds in a Riemannian manifold, University of Kansas, 1968 (mimeographed lecture notes).
[5] Cohn-Vossen, Compositio Math. 2 pp 69– (1935)
[6] and , Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York, 1977. · doi:10.1007/978-3-642-96379-7
[7] Spherical and Ellipsoidal Harmonics, Chelsea, New York, 1955.
[8] Schoen, Ann. Math. 110 pp 127– (1979)
[9] Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Israel Program for Scientific Translations, Jerusalem, 1965.
[10] A Survey of Minimal Surfaces, Van Nostrand Reinhold, New York, 1969. · Zbl 0209.52901
[11] Schoen, Acta Math. 134 pp 275– (1975)
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