Bonnet pairs and isothermic surfaces
George Kamberov, Franz Pedit, and Ulrich Pinkall
Source: Duke Math. J. Volume 92, Number 3
(1998), 637-644.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231680
Mathematical Reviews number (MathSciNet): MR1620534
Zentralblatt MATH identifier: 1003.53007
Digital Object Identifier: doi:10.1215/S0012-7094-98-09219-5
References
[1] A. Bobenko and U. Eitner, Bonnet surfaces and Painlevé equations, Sonderforschungsbereich 288, Technische Universität Berlin, preprint 151, 1994.
Mathematical Reviews (MathSciNet): MR1631128
[2] A. Bobenko and U. Pinkall, Discrete isothermic surfaces, J. Reine Angew. Math. 475 (1996), 187–208.
Mathematical Reviews (MathSciNet): MR97f:53004
Zentralblatt MATH: 0845.53005
Digital Object Identifier: doi:10.1515/crll.1996.475.187
[3] O. Bonnet, Memoire sur la theorie des surfaces applicables, J. École Polytechnique 42 (1867), 72–92.
[4] F. Burstall, U. Hertrich-Jeromin, F. Pedit, and U. Pinkall, Curved flats and isothermic surfaces, Math. Z. 225 (1997), no. 2, 199–209.
Mathematical Reviews (MathSciNet): MR98j:53004
Zentralblatt MATH: 0902.53038
Digital Object Identifier: doi:10.1007/PL00004308
[5] E. Cartan, Sur les couples de surfaces applicables avec conservation des courbures principales, Bull. Sci. Math. (2) 66 (1942), 55–72, 74–85.
Mathematical Reviews (MathSciNet): MR5,216e
Zentralblatt MATH: 0027.08903
[6] S.-S. Chern, Deformation of surfaces preserving principal curvatures, Differential geometry and complex analysis, Springer, Berlin, 1985, A volume dedicated to the memory of H. E. Rauch, pp. 155–163.
Mathematical Reviews (MathSciNet): MR86h:53005
Zentralblatt MATH: 0566.53002
[7] U. Hertrich-Jeromin and F. Pedit, Remarks on the Darboux transform of isothermic surfaces, Doc. Math. 2 (1997), 313–333 (electronic).
Mathematical Reviews (MathSciNet): MR99k:53006
Zentralblatt MATH: 0892.53003
[8] G. Kamberov, Recovering the shape of a surface from the mean curvature, in Proceedings of the International Conference on Dynamical Systems and Differential Equations, ed. W. Chen and S. C. Hu, Dekker, to appear.
Mathematical Reviews (MathSciNet): MR1720616
[9] H. B. Lawson, Jr. and R. Tribuzy, On the mean curvature function for compact surfaces, J. Differential Geom. 16 (1981), no. 2, 179–183.
Mathematical Reviews (MathSciNet): MR83e:53060
Zentralblatt MATH: 0476.53031
Project Euclid: euclid.jdg/1214436095
[10] U. Pinkall, Regular homotopy classes of immersed surfaces, Topology 24 (1985), no. 4, 421–434.
Mathematical Reviews (MathSciNet): MR87e:57028
Zentralblatt MATH: 0583.57020
Digital Object Identifier: doi:10.1016/0040-9383(85)90013-8
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