Conformal deformations preserving the Gauss map.

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Conformal deformations preserving the Gauss map.

Enaldo Silva Vergasta

Source: Pacific J. Math. Volume 156, Number 2 (1992), 359-369.

First Page: Show

Primary Subjects: 53C42

Secondary Subjects: 53A30

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102634983
Zentralblatt MATH identifier: 0761.53004
Mathematical Reviews number (MathSciNet): MR1186811

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References

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[D&G] M. Dajczer and D. Gromoll, Real Kaehler submanifolds and uniquenessof the Gauss map, J. Differential Geom., 22 (1985), 13-28.

Mathematical Reviews (MathSciNet): MR87g:53088b

Zentralblatt MATH: 0587.53051

[H&O-1] D. Hoffman and R. Osserman, Thegeometry of the generalized Gaussmap, Mem. Amer. Math. Soc, no. 236, (1980).

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Zentralblatt MATH: 0469.53004

[H&O-2] D. Hoffman and R. Osserman, The Gauss map of surfaces in Rn , J. Differential Geom., 19 (1982), 733-754.

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[Ku] R. S. Kulkarni, Curvature and metric, Ann. of Math., 91 (1970), 311-333.

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[La] H. B. Lawson, Jr., Complete minimal surfaces in S3, Ann. of Math., 92 (1970), 335-374.

Mathematical Reviews (MathSciNet): MR42:5170

Zentralblatt MATH: 0205.52001

[Ve] E. S. Vergasta, Conformal immersions with thesame Gauss map,An.Acad. Brasil Ci., 59 (1987), 145-147.

Mathematical Reviews (MathSciNet): MR89e:53005

Zentralblatt MATH: 0644.53004

[We-1] J. L. Weiner, The Gauss mapfor surfaces: Part \-The affine case, Trans. Amer. Math. Soc, 293 (1986), 431-446.

Mathematical Reviews (MathSciNet): MR87e:53010a

Zentralblatt MATH: 0601.53005

[We-2] J. L. Weiner, TheGaussmapfor surfaces:Part 2-The Euclidean case,Trans. Amer. Math. Soc, 293 (1986), 447-466.

Mathematical Reviews (MathSciNet): MR87e:53010b

Zentralblatt MATH: 0601.53006

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