메뉴 건너뛰기




Volumn 46, Issue 11, 2005, Pages

On the Cauchy problem for the integrable system of Lie minimal surfaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 28844450270     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2116267     Document Type: Article
Times cited : (11)

References (22)
  • 2
    • 21344490496 scopus 로고
    • On an old article of Tzitźica and the inverse scattering method
    • Boldin, A. Yu., Safin, S. S., and Sharipov, R. A., " On an old article of Tzitźica and the inverse scattering method., " J. Math. Phys. 34, 5801-5809 (1993).
    • (1993) J. Math. Phys. , vol.34 , pp. 5801-5809
    • Boldin, A.Yu.1    Safin, S.S.2    Sharipov, R.A.3
  • 3
    • 0001874919 scopus 로고
    • A duality theorem for Willmore surfaces
    • Bryant, R. L., " A duality theorem for Willmore surfaces., " J. Diff. Geom. 20, 23-53 (1984).
    • (1984) J. Diff. Geom. , vol.20 , pp. 23-53
    • Bryant, R.L.1
  • 5
    • 0036988873 scopus 로고    scopus 로고
    • Harmonic maps in unfashionable geometries
    • Burstall, F., and Hertich-Jeromin, U., " Harmonic maps in unfashionable geometries., " Manuscr. Math. 108, 171-189 (2002).
    • (2002) Manuscr. Math. , vol.108 , pp. 171-189
    • Burstall, F.1    Hertich-Jeromin, U.2
  • 7
    • 28844472171 scopus 로고
    • Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model
    • Cherdantzev, I. Yu., and Sharipov, R. A., " Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model., " Int. J. Mod. Phys. A 5, 3021-3027 (1990).
    • (1990) Int. J. Mod. Phys. A , vol.5 , pp. 3021-3027
    • Cherdantzev, I.Yu.1    Sharipov, R.A.2
  • 9
    • 0042461651 scopus 로고
    • Moving Frames, in Élie Cartan et les Math́matiques d'aujourd'hui
    • Chern, S. S., " Moving Frames, in Élie Cartan et les Math́matiques d'aujourd'hui., " Asterisque, Numero Hors Serie, 67-77 (1985).
    • (1985) Asterisque , pp. 67-77
    • Chern, S.S.1
  • 10
    • 0035981971 scopus 로고    scopus 로고
    • Hyper-complex four-manifolds from the Titźica equation
    • Dunajski, M., " Hyper-complex four-manifolds from the Titźica equation., " J. Math. Phys. 43, 651-658 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 651-658
    • Dunajski, M.1
  • 11
    • 0034392120 scopus 로고    scopus 로고
    • Lie sphere geometry and integrable systems
    • Ferapontov, E., " Lie sphere geometry and integrable systems., " Tohoku Math. J. 52, 199-233 (2000).
    • (2000) Tohoku Math. J. , vol.52 , pp. 199-233
    • Ferapontov, E.1
  • 12
    • 0036858789 scopus 로고    scopus 로고
    • The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie applicable surfaces and commuting Schrödinger operators with magnetic fields
    • Ferapontov, E., " The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie applicable surfaces and commuting Schrödinger operators with magnetic fields., " Int. J. Math. 13, 956-986 (2002).
    • (2002) Int. J. Math. , vol.13 , pp. 956-986
    • Ferapontov, E.1
  • 13
    • 0033164127 scopus 로고    scopus 로고
    • Surfaces of Demulin: Differential geometry, Bäcklund transformation and integrability
    • Ferapontov, E., and Schief, W. K., " Surfaces of Demulin: Differential geometry, Bäcklund transformation and integrability., " J. Geom. Phys. 30, 343-363 (1999).
    • (1999) J. Geom. Phys. , vol.30 , pp. 343-363
    • Ferapontov, E.1    Schief, W.K.2
  • 15
    • 21444443331 scopus 로고    scopus 로고
    • A variational problem for surfaces in Laguerre geometry
    • Musso, E., and Nicolodi, L., " A variational problem for surfaces in Laguerre geometry., " Trans. Am. Math. Soc. 348, 4321-4337 (1996).
    • (1996) Trans. Am. Math. Soc. , vol.348 , pp. 4321-4337
    • Musso, E.1    Nicolodi, L.2
  • 16
    • 0002369538 scopus 로고    scopus 로고
    • Laguerre geometry of surfaces with plane lines of curvature
    • Musso, E., and Nicolodi, L., " Laguerre geometry of surfaces with plane lines of curvature., " Abh. Math. Sem. Univ. Hamburg 69, 123-138 (1999).
    • (1999) Abh. Math. Sem. Univ. Hamburg , vol.69 , pp. 123-138
    • Musso, E.1    Nicolodi, L.2
  • 17
    • 34250385489 scopus 로고
    • Integrable Hamiltonian systems and interactions through quadratic constraints
    • Pohlmeyer, K., " Integrable Hamiltonian systems and interactions through quadratic constraints., " Commun. Math. Phys. 46, 207-221 (1976).
    • (1976) Commun. Math. Phys. , vol.46 , pp. 207-221
    • Pohlmeyer, K.1
  • 18
    • 0000367659 scopus 로고
    • The affinsphären equation. Mutard and Bäcklund transformations
    • Rogers, C., and Schief, W. K., " The affinsphären equation. Mutard and Bäcklund transformations., " Inverse Probl. 10, 711-731 (1994).
    • (1994) Inverse Probl. , vol.10 , pp. 711-731
    • Rogers, C.1    Schief, W.K.2
  • 19
    • 0037946546 scopus 로고
    • Minimal tori in five-dimensional sphere in C3
    • Sharipov, R. A., " Minimal tori in five-dimensional sphere in C3., " Theor. Math. Phys. 87, 363-369 (1991).
    • (1991) Theor. Math. Phys. , vol.87 , pp. 363-369
    • Sharipov, R.A.1
  • 20
    • 0013076183 scopus 로고
    • Sulle superfici minime proiettive
    • Thomsen, G., " Sulle superfici minime proiettive., " Ann. Mat. Pura Appl. 5, 169-184 (1928).
    • (1928) Ann. Mat. Pura Appl. , vol.5 , pp. 169-184
    • Thomsen, G.1
  • 21
    • 84972545531 scopus 로고
    • Harmonic maps into Lie groups: Classical solutions of the chiral model
    • Uhlenbeck, K., " Harmonic maps into Lie groups: classical solutions of the chiral model., " J. Diff. Geom. 30, 1-50 (1989).
    • (1989) J. Diff. Geom. , vol.30 , pp. 1-50
    • Uhlenbeck, K.1
  • 22
    • 0002439927 scopus 로고
    • Integration of the nonlinear equations of mathematical physics by the method of the inverse scattering problem, II
    • Zakharov, V. E., and Shabat, A. B., " Integration of the nonlinear equations of mathematical physics by the method of the inverse scattering problem, II., Funkc. Anal. Priloz. 13, 13-22 (1979).
    • (1979) Funkc. Anal. Priloz. , vol.13 , pp. 13-22
    • Zakharov, V.E.1    Shabat, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.