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Results in Mathematics
Volumn 33, Issue 3-4, 1998, Pages 288-293
Bonnet Surfaces with Constant Curvature
Author keywords

Bonnet surfaces; curves in Euclidean space; surfaces with prescribed mean curvature
Indexed keywords

EID: 0011995250     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322088     Document Type: Article
Times cited : (6)
References (15)
  • 1
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    • Bobenko, A.I.1
  • 2
    • 0003061298 scopus 로고
    • Surfaces in terms of 2 by 2 matrices. Old and new integrable cases
    • Fordy A, Wood J C, (eds), Aspects of Mathematics, Vieweg
    • A. I. Bobenko, Surfaces in terms of 2 by 2 matrices. Old and new integrable cases, Harmonic maps and Integrable Systems (A. Fordy and J. C. Wood, eds.), Aspects of Mathematics, Vieweg (1994), 83–127
    • (1994) Harmonic maps and Integrable Systems , pp. 83-127
    • Bobenko, A.I.1
  • 4
    • 0002238190 scopus 로고    scopus 로고
    • Surfaces with harmonic inverse mean curvature and Painlevé equations
    • A. Bobenko, U. Eitner and A. Kitaev, Surfaces with harmonic inverse mean curvature and Painlevé equations, Geom. Dedicata 68 (1997), 187–227
    • (1997) Geom. Dedicata , 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. Éc. Polyt. 42 (1867), 72–92
    • (1867) J. Éc. Polyt. , vol.42 , pp. 72-92
    • Bonnet, O.1
  • 6
    • 0040439610 scopus 로고
    • Sur les couples de surfaces applicables avec conservation des courbures principales
    • É. Cartan, Sur les couples de surfaces applicables avec conservation des courbures principales, Bull. sci. Math. 66 (1942), 1–30
    • (1942) Bull. sci. Math. , vol.66 , pp. 1-30
    • Cartan1
  • 7
    • 0011936267 scopus 로고    scopus 로고
    • Bonnet surfaces and isothermic surfaces
    • W. Chen and H. Li, Bonnet surfaces and isothermic surfaces, Results Math. 31 (1997), 40–52
    • (1997) Results Math. , vol.31 , pp. 40-52
    • Chen, W.1    Li, H.2
  • 11
    • 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
    • 0011967049 scopus 로고
    • Sur une classe nouvelle des surfaces isothermiques et sur les surfaces déformables sons altération des courbures principales
    • L. Raffy, Sur une classe nouvelle des surfaces isothermiques et sur les surfaces déformables sons altération des courbures principales, Bull. Soc. Math. France 21 (1893), 70–72
    • (1893) Bull. Soc. Math. France , vol.21 , pp. 70-72
    • Raffy, L.1
  • 14
    • 0346430706 scopus 로고
    • Principal curvature preserving isometries of surfaces in ordinary space
    • I. M. Roussos, Principal curvature preserving isometries of surfaces in ordinary space, Bol. Soc. Brasil. Mat. 18 (1987), 95–105
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  • 15
    • 84972529601 scopus 로고
    • Isometric deformation of surfaces in the hyperbolic 3-manifold preserving the mean curvature
    • H. Takeuchi, Isometric deformation of surfaces in the hyperbolic 3-manifold preserving the mean curvature, Tokyo J. Math. 18 (1995), 247–258
    • (1995) Tokyo J. Math. , vol.18 , pp. 247-258
    • Takeuchi, H.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.