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Volumn 499, Issue , 1998, Pages 47-79

Bonnet surfaces and Painlevé equations

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EID: 0008043633     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1998.061     Document Type: Article
Times cited : (25)

References (27)
  • 1
    • 84956066062 scopus 로고
    • Constant mean curvature surfaces and integrable equations
    • A.I. Bobenko, Constant mean curvature surfaces and integrable equations, Russ. Math. Surv. 46 : 4 (1991), 1-45.
    • (1991) Russ. Math. Surv. , vol.46 , Issue.4 , pp. 1-45
    • Bobenko, A.I.1
  • 2
    • 0003061298 scopus 로고
    • Surfaces in terms of 2 by 2 matrices. Old and new integrable cases
    • Fordy, Wood (eds.), Vieweg
    • A.I. Bobenko, Surfaces in Terms of 2 by 2 Matrices. Old and New Integrable Cases, in: Fordy, Wood (eds.), Harmonic Maps and Integrable Systems, Vieweg, 1994.
    • (1994) Harmonic Maps and Integrable Systems
    • Bobenko, A.I.1
  • 3
    • 0038879528 scopus 로고
    • Bonnet surfaces and Painlevé equations
    • TU Berlin
    • A. Bobenko, U. Eitner, Bonnet surfaces and Painlevé equations, SFB 288 Preprint 151, TU Berlin, 1994.
    • (1994) SFB 288 Preprint , vol.151
    • Bobenko, A.1    Eitner, U.2
  • 4
    • 0002238190 scopus 로고    scopus 로고
    • Surfaces with harmonic inverse mean curvature and Painlevé equations
    • A. Bobenko, U. Eitner, A. Kitaev, Surfaces with harmonic inverse mean curvature and Painlevé equations, Geom. Dedic. 68 (1997), 187-227.
    • (1997) Geom. Dedic. , vol.68 , pp. 187-227
    • Bobenko, A.1    Eitner, U.2    Kitaev, A.3
  • 5
    • 0003210288 scopus 로고
    • Mémoire sur la théorie des surfaces applicables
    • O. Bonnet, Mémoire sur la théorie des surfaces applicables, J. Ec. Polyt. 42 (1867), 72-92.
    • (1867) J. Ec. Polyt. , vol.42 , pp. 72-92
    • Bonnet, O.1
  • 6
    • 0040439610 scopus 로고
    • Sur les couples de surfaces applicables avec conversation des courbières principles
    • E. Cartan, Sur les couples de surfaces applicables avec conversation des courbières principles, Bull. Sc. Math. 66 (1942), 1-30.
    • (1942) Bull. Sc. Math. , vol.66 , pp. 1-30
    • Cartan, E.1
  • 8
    • 0010819973 scopus 로고
    • Deformation of surfaces preserving principal curvatures
    • Chavel, I., Farkas, (eds.), Springer
    • S.S. Chern, Deformation of Surfaces Preserving Principal Curvatures, in: Chavel, I., Farkas, (eds.), Differential Geometry and Complex Analysis, Springer (1985), 155-163.
    • (1985) Differential Geometry and Complex Analysis , pp. 155-163
    • Chern, S.S.1
  • 10
    • 0040657537 scopus 로고
    • Weierstrass type representation of harmonic maps into symmetric spaces
    • J. Dorfmeister, F. Pedit, H. Wu, Weierstrass type representation of harmonic maps into symmetric spaces, GANG preprint III. 25 (1994).
    • (1994) GANG preprint III , vol.25
    • Dorfmeister, J.1    Pedit, F.2    Wu, H.3
  • 11
    • 0040063968 scopus 로고    scopus 로고
    • Schlesinger transformations for Bonnet surfaces
    • TU Berlin
    • U. Eitner, Schlesinger Transformations for Bonnet Surfaces, SFB 288 Preprint 218, TU Berlin, 1996.
    • (1996) SFB 288 Preprint , vol.218
    • Eitner, U.1
  • 12
    • 0012003753 scopus 로고
    • Applicability with preservation of both curvatures
    • W.C. Graustein, Applicability with Preservation of Both Curvatures, Bull. Amer. Math. Soc. 30 (1924), 19-23.
    • (1924) Bull. Amer. Math. Soc. , vol.30 , pp. 19-23
    • Graustein, W.C.1
  • 13
    • 0011989895 scopus 로고
    • Biegung mit erhaltung der hauptkrümmungsradien
    • J.N. Hazzidakis, Biegung mit Erhaltung der Hauptkrümmungsradien, J. reine angew. Math. 117 (1987), 42-56.
    • (1987) J. Reine Angew. Math. , vol.117 , pp. 42-56
    • Hazzidakis, J.N.1
  • 15
    • 0040063969 scopus 로고
    • Painlevé functions. Brief review of the modern theory and applications
    • Levi, D., Menyuk, C.R., Winternitz, P. (eds.), Les Publication CRM
    • A.R. Its, Painlevé Functions. Brief Review of the Modern Theory and Applications, in: Levi, D., Menyuk, C.R., Winternitz, P. (eds.), Self-Similarity in Stimulated Ramam Scattering, Les Publication CRM (1994), 55-68.
    • (1994) Self-similarity in Stimulated Ramam Scattering , pp. 55-68
    • Its, A.R.1
  • 16
    • 0003219756 scopus 로고
    • The isomonodromic deformation method in the theory of Painlevé equations
    • Berlin - Heidelberg - New York - Tokyo
    • A.R. Its, V.Y. Novokshenov, The Isomonodromic Deformation Method in the Theory of Painlevé Equations, Lect. Notes Math. 1191, Berlin - Heidelberg - New York - Tokyo 1986.
    • (1986) Lect. Notes Math. , vol.1191
    • Its, A.R.1    Novokshenov, V.Y.2
  • 17
    • 0000254490 scopus 로고
    • Monodromy problem and the boundary condition for some Painlevé equations
    • M. Jimbo, Monodromy Problem and the Boundary Condition for Some Painlevé Equations, RIMS 18 (1982), 1137-1161.
    • (1982) RIMS , vol.18 , pp. 1137-1161
    • Jimbo, M.1
  • 18
    • 49049148970 scopus 로고
    • Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II
    • M. Jimbo, T. Miwa, Monodromy Perserving Deformation of Linear Ordinary Differential Equations with Rational Coefficients. II, Physica 2D (1981), 407-448.
    • (1981) Physica , vol.2 D , pp. 407-448
    • Jimbo, M.1    Miwa, T.2
  • 19
    • 0039472179 scopus 로고    scopus 로고
    • Bonnet pairs and isothermic surfaces
    • dg-ga/9610006, to appear
    • G. Kamberov, F. Pedit, U. Pinkall, Bonnet pairs and isothermic surfaces, dg-ga/9610006 (1996), Duke Math. J., to appear.
    • (1996) Duke Math. J.
    • Kamberov, G.1    Pedit, F.2    Pinkall, U.3
  • 21
    • 0001825436 scopus 로고
    • The method of isomonodromy deformations and asymptotics of solutions of the "Complete" third Painlevé equation
    • A.V. Kitaev, The Method of Isomonodromy Deformations And Asymptotics of Solutions of the "Complete" Third Painlevé Equation, Math. USSR Sbornik 62 No. 2 (1989), 421-444.
    • (1989) Math. USSR Sbornik , vol.62 , Issue.2 , pp. 421-444
    • Kitaev, A.V.1
  • 22
    • 0003067405 scopus 로고
    • Connection formulae for Painlevé V functions II. The δ function bose gas problem
    • B.M. McCoy, S. Tang, Connection Formulae For Painlevé V Functions II. The δ Function Bose Gas Problem, Physica D 20 (1986), 186-216.
    • (1986) Physica D , vol.20 , pp. 186-216
    • McCoy, B.M.1    Tang, S.2
  • 24
    • 0011967049 scopus 로고
    • Sur une classe nouvelle des surfaces isothermiques et sur les surfaces déformables sans alteration des courbures principales
    • L. Raffy, Sur une classe nouvelle des surfaces isothermiques et sur les surfaces déformables sans alteration des courbures principales, Bull. Soc. Math. France 21 (1893), 70-72.
    • (1893) Bull. Soc. Math. France , vol.21 , pp. 70-72
    • Raffy, L.1
  • 25
    • 0039472178 scopus 로고    scopus 로고
    • Global results on Bonnet surfaces
    • to appear
    • I.M. Roussos, Global results on Bonnet surfaces, J. Geom., to appear.
    • J. Geom.
    • Roussos, I.M.1
  • 26
    • 0004169841 scopus 로고
    • New York - London - Sydney - Toronto
    • J.J. Stoker, Differential Geometry, New York - London - Sydney - Toronto (1969), 70-72.
    • (1969) Differential Geometry , pp. 70-72
    • Stoker, J.J.1
  • 27
    • 51249167594 scopus 로고
    • Constant mean curvature planes with inner rotational symmetry in Euclidean 3-space
    • M. Timmreck, U. Pinkall, D. Ferus, Constant mean curvature planes with inner rotational symmetry in Euclidean 3-space, Math. Z. 215 (1994), 561-568.
    • (1994) Math. Z. , vol.215 , pp. 561-568
    • Timmreck, M.1    Pinkall, U.2    Ferus, D.3


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