Journal of Differential Geometry

On the mean curvature function for compact surfaces

H. Blaine Lawson, Jr. and Renato de Azevedo Tribuzy
Source: J. Differential Geom. Volume 16, Number 2 (1981), 179-183.
First Page: Show Hide
Primary Subjects: 53C42
Secondary Subjects: 53A10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214436095
Mathematical Reviews number (MathSciNet): MR638784
Zentralblatt MATH identifier: 0476.53031

References

[1] H. B. Lawson, Jr., Complete minimal sufaces in S3, Ann. of Math. 92 (1970) 335-374.
Zentralblatt MATH: 0205.52001
Mathematical Reviews (MathSciNet): MR270280
Digital Object Identifier: doi:10.2307/1970625
[2] A. S. Olomouc, Determination of a surface by its mean curvature, Casopis Pro Pestovani Matematiky, roc. 103 (1978) Praha, 175-180.
Zentralblatt MATH: 0389.53002
Mathematical Reviews (MathSciNet): MR500570
[3] W. Scherrer, Die Grundgleichungen der Flachentheorie. II, Comment. Math. Helv. 32 (1957) 73-84.
Zentralblatt MATH: 0078.13803
Mathematical Reviews (MathSciNet): MR92178
Digital Object Identifier: doi:10.1007/BF02564571
[4] T. Y. Thomas, Algebraic determination of the second fundamental form of a surface by its mean curvature, Bull. Amer. Math. Soc. 51 (1945) 390-399.
Zentralblatt MATH: 0060.35304
Mathematical Reviews (MathSciNet): MR12494
Digital Object Identifier: doi:10.1090/S0002-9904-1945-08363-3
Project Euclid: euclid.bams/1183506982
[5] R. Tribuzy, A characterization of tori with constant mean curvature in a spaceform, Bol. Soc. Brasil. Mat. 11 (1980) 259-274.
Zentralblatt MATH: 0573.53037
Mathematical Reviews (MathSciNet): MR671469
Digital Object Identifier: doi:10.1007/BF02584641

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Journal of Differential Geometry

Journal of Differential Geometry

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