메뉴 건너뛰기




Volumn , Issue 45, 2003, Pages 2415-2459

Discrete and Smooth Orthogonal Systems: C∞-Approximation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0344629383     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792803130991     Document Type: Article
Times cited : (22)

References (21)
  • 2
    • 0003649603 scopus 로고
    • Universitext, Springer-Verlag, Berlin
    • M. Berger, Geometry. I, Universitext, Springer-Verlag, Berlin, 1987.
    • (1987) Geometry. I
    • Berger, M.1
  • 3
    • 0345702973 scopus 로고
    • Le trasformazioni di Ribaucour dei sistemi n-pli ortogonali e il teorema generale di permutabilità
    • Italian
    • L. Bianchi, Le trasformazioni di Ribaucour dei sistemi n-pli ortogonali e il teorema generale di permutabilità, Annali di Mat. 27 (1918), no. 3, 183-257 (Italian).
    • (1918) Annali di Mat. , vol.27 , Issue.3 , pp. 183-257
    • Bianchi, L.1
  • 5
    • 0001773696 scopus 로고    scopus 로고
    • Discrete conformal maps and surfaces
    • SIDE II - Symmetries and Integrability of Difference Equations (Canterbury, 1996) (P. A. Clarkson and F. W. Nijhoff, eds.), Cambridge University Press, Cambridge
    • A. I. Bobenko, Discrete conformal maps and surfaces, SIDE II - Symmetries and Integrability of Difference Equations (Canterbury, 1996) (P. A. Clarkson and F. W. Nijhoff, eds.), London Math. Soc. Lecture Note Ser., vol. 255, Cambridge University Press, Cambridge, 1999, pp. 97-108.
    • (1999) London Math. Soc. Lecture Note Ser. , vol.255 , pp. 97-108
    • Bobenko, A.I.1
  • 6
    • 0344840094 scopus 로고    scopus 로고
    • Orthogonal nets and Clifford algebras
    • Proceedings of the 5th Pacific Rim Geometry Conference (Sendai, 2000), Tohoku University, Sendai
    • A. I. Bobenko and U. Hertrich-Jeromin, Orthogonal nets and Clifford algebras, Proceedings of the 5th Pacific Rim Geometry Conference (Sendai, 2000), Tohoku Math. Publ., vol. 20, Tohoku University, Sendai, 2001, pp. 7-22.
    • (2001) Tohoku Math. Publ. , vol.20 , pp. 7-22
    • Bobenko, A.I.1    Hertrich-Jeromin, U.2
  • 8
    • 0002611211 scopus 로고    scopus 로고
    • Discretization of surfaces and integrable systems
    • Discrete Integrable Geometry and Physics (Vienna, 1996) (A. I. Bobenko and R. Seiler, eds.), Oxford University Press, New York
    • A. I. Bobenko and U. Pinkall, Discretization of surfaces and integrable systems, Discrete Integrable Geometry and Physics (Vienna, 1996) (A. I. Bobenko and R. Seiler, eds.), Oxford Lecture Ser. Math. Appl., vol. 16, Oxford University Press, New York, 1999, pp. 3-58.
    • (1999) Oxford Lecture Ser. Math. Appl. , vol.16 , pp. 3-58
    • Bobenko, A.I.1    Pinkall, U.2
  • 9
    • 0039245205 scopus 로고    scopus 로고
    • The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
    • J. Cieśliński, A. Doliwa, and P. M. Santini, The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices, Phys. Lett. A 235 (1997), no. 5, 480-488.
    • (1997) Phys. Lett. A , vol.235 , Issue.5 , pp. 480-488
    • Cieśliński, J.1    Doliwa, A.2    Santini, P.M.3
  • 11
    • 0003024768 scopus 로고    scopus 로고
    • ∂̄-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
    • A. Doliwa, S. V. Manakov, and P. M. Santini, ∂̄-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice, Comm. Math. Phys. 196 (1998), no. 1, 1-18.
    • (1998) Comm. Math. Phys. , vol.196 , Issue.1 , pp. 1-18
    • Doliwa, A.1    Manakov, S.V.2    Santini, P.M.3
  • 12
    • 0000894684 scopus 로고    scopus 로고
    • Multidimensional quadrilateral lattices are integrable
    • A. Doliwa and P. M. Santini, Multidimensional quadrilateral lattices are integrable, Phys. Lett. A 233 (1997), no. 4-6, 365-372.
    • (1997) Phys. Lett. A , vol.233 , Issue.4-6 , pp. 365-372
    • Doliwa, A.1    Santini, P.M.2
  • 13
    • 0345702971 scopus 로고    scopus 로고
    • Integrable discrete geometry: The quadrilateral lattice, its transformations and reductions
    • SIDE III - Symmetries and Integrability of Difference Equations (Sabaudia, 1998) (D. Levi and O. Ragnisco, eds.), American Mathematical Society, Rhode Island
    • _, Integrable discrete geometry: the quadrilateral lattice, its transformations and reductions, SIDE III - Symmetries and Integrability of Difference Equations (Sabaudia, 1998) (D. Levi and O. Ragnisco, eds.), CRM Proc. Lecture Notes, vol. 25, American Mathematical Society, Rhode Island, 2000, pp. 101-119.
    • (2000) CRM Proc. Lecture Notes , vol.25 , pp. 101-119
  • 14
    • 0347427534 scopus 로고
    • Integrable systems in topological field theory
    • B. Dubrovin, Integrable systems in topological field theory, Nuclear Phys. B 379 (1992), no. 3, 627-689.
    • (1992) Nuclear Phys. B , vol.379 , Issue.3 , pp. 627-689
    • Dubrovin, B.1
  • 15
    • 0030327959 scopus 로고    scopus 로고
    • An algebraic superposition formula and the completeness of Bäcklund transformations of (2 + 1)-dimensional integrable systems
    • Russian
    • E. I. Ganzha and S. P. Tsarev, An algebraic superposition formula and the completeness of Bäcklund transformations of (2 + 1)-dimensional integrable systems, Russian Math. Surveys 51 (1996), no. 6, 1200-1202 (Russian).
    • (1996) Russian Math. Surveys , vol.51 , Issue.6 , pp. 1200-1202
    • Ganzha, E.I.1    Tsarev, S.P.2
  • 16
    • 12844283349 scopus 로고    scopus 로고
    • Introduction to Möbius Differential Geometry
    • Cambridge University Press, Cambridge
    • U. Hertrich-Jeromin, Introduction to Möbius Differential Geometry, London Math. Soc. Lect. Notes Ser., vol. 300, Cambridge University Press, Cambridge, 2003.
    • (2003) London Math. Soc. Lect. Notes Ser. , vol.300
    • Hertrich-Jeromin, U.1
  • 17
    • 33746456381 scopus 로고    scopus 로고
    • Three-dimensional integrable lattices in Euclidean spaces: Conjugacy and orthogonality
    • B. G. Konopelchenko and W. K. Schief, Three-dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 454 (1998), no. 1980, 3075-3104.
    • (1998) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.454 , Issue.1980 , pp. 3075-3104
    • Konopelchenko, B.G.1    Schief, W.K.2
  • 18
    • 0038439840 scopus 로고    scopus 로고
    • Algebraic-geometric n-orthogonal curvilinear coordinate systems and the solution of associativity equations
    • Russian
    • I. M. Krichever, Algebraic-geometric n-orthogonal curvilinear coordinate systems and the solution of associativity equations, Funct. Anal. Appl. 31 (1997), no. 1, 25-39 (Russian).
    • (1997) Funct. Anal. Appl. , vol.31 , Issue.1 , pp. 25-39
    • Krichever, I.M.1
  • 19
    • 0000300872 scopus 로고
    • Cyclide surfaces in computer aided design
    • J. A. Gregory, ed., Clarendon Press, Oxford
    • R. R. Martin, J. de Pont, and T. J. Sharrock, Cyclide surfaces in computer aided design, The Mathematics of Surfaces (J. A. Gregory, ed.), Clarendon Press, Oxford, 1986, pp. 253-268.
    • (1986) The Mathematics of Surfaces , pp. 253-268
    • Martin, R.R.1    De Pont, J.2    Sharrock, T.J.3
  • 20
    • 0002153342 scopus 로고
    • The solution of frame matching equation
    • J. A. Gregory, ed., Clarendon Press, Oxford
    • A. W. Nutbourne, The solution of frame matching equation, The Mathematics of Surfaces (J. A. Gregory, ed.), Clarendon Press, Oxford, 1986, pp. 233-252.
    • (1986) The Mathematics of Surfaces , pp. 233-252
    • Nutbourne, A.W.1
  • 21
    • 0003022531 scopus 로고    scopus 로고
    • Description of the n-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I. Integration of the Lamé equations
    • V. E. Zakharov, Description of the n-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I. Integration of the Lamé equations, Duke Math. J. 94 (1998), no. 1, 103-139.
    • (1998) Duke Math. J. , vol.94 , Issue.1 , pp. 103-139
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.