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Volumn 36, Issue 1-2, 2000, Pages 152-162

The geometry of the Toda equation

Author keywords

53A30; 53C25; Differential geometry; Einstein Weyl geometry; Toda equation

Indexed keywords


EID: 0038530326     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00019-X     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 36749120795 scopus 로고
    • Killing vectors in self-dual Euclidean Einstein spaces
    • Boyer C.P., Finley J.D. Killing vectors in self-dual Euclidean Einstein spaces. J. Math. Phys. 23:1982;1126-1130.
    • (1982) J. Math. Phys. , vol.23 , pp. 1126-1130
    • Boyer, C.P.1    Finley, J.D.2
  • 5
    • 34250140188 scopus 로고
    • Stationary Riemannian space-times with self-dual curvature
    • Gegenberg J.D., Das A. Stationary Riemannian space-times with self-dual curvature. Gen. Relativity Grav. 16:1984;817-829.
    • (1984) Gen. Relativity Grav. , vol.16 , pp. 817-829
    • Gegenberg, J.D.1    Das, A.2
  • 6
    • 0001635666 scopus 로고
    • Gravitational multi-instantons
    • G.W. Gibbons, S.W. Hawking, Gravitational multi-instantons, Phys. Lett. 78B (1978) 430-432.
    • (1978) Phys. Lett. , vol.78 B , pp. 430-432
    • Gibbons, G.W.1    Hawking, S.W.2
  • 7
    • 0001856340 scopus 로고
    • Complex manifolds and Einstein equations
    • in: H.D. Doebner, T.D. Palev (Eds.), Springer, Berlin
    • N.J. Hitchin, Complex manifolds and Einstein equations, in: H.D. Doebner, T.D. Palev (Eds.), Twistor Geometry and Non-linear Systems, Lecture Notes in Mathematics, Vol. 970, Springer, Berlin, 1982, pp. 79-99.
    • (1982) Twistor Geometry and Non-linear Systems, Lecture Notes in Mathematics , vol.970 , pp. 79-99
    • Hitchin, N.J.1
  • 8
    • 0000408530 scopus 로고
    • Minitwistor spaces and Einstein-Weyl spaces
    • Jones P.E., Tod K.P. Minitwistor spaces and Einstein-Weyl spaces. Class. Quant. Grav. 2:1985;565-577.
    • (1985) Class. Quant. Grav. , vol.2 , pp. 565-577
    • Jones, P.E.1    Tod, K.P.2
  • 9
    • 84974002160 scopus 로고
    • Explicit construction of self-dual 4-manifolds
    • Joyce D.D. Explicit construction of self-dual 4-manifolds. Duke Math. J. 77:1995;519-552.
    • (1995) Duke Math. J. , vol.77 , pp. 519-552
    • Joyce, D.D.1
  • 11
    • 0002937937 scopus 로고
    • Three-dimensional Einstein-Weyl geometry
    • Pedersen H., Tod K.P. Three-dimensional Einstein-Weyl geometry. Adv. Math. 97:1993;74-109.
    • (1993) Adv. Math. , vol.97 , pp. 74-109
    • Pedersen, H.1    Tod, K.P.2
  • 12
    • 84963017381 scopus 로고
    • Compact three-dimensional Einstein-Weyl structures
    • Tod K.P. Compact three-dimensional Einstein-Weyl structures. J. London Math. Soc. 45:1992;341-351.
    • (1992) J. London Math. Soc. , vol.45 , pp. 341-351
    • Tod, K.P.1
  • 13
    • 21844485105 scopus 로고
    • Scalar-flat Kähler and hyper-Kähler metrics from Painlevé-III
    • Tod K.P. Scalar-flat Kähler and hyper-Kähler metrics from Painlevé-III. Class. Quant. Grav. 12:1995;1535-1547.
    • (1995) Class. Quant. Grav. , vol.12 , pp. 1535-1547
    • Tod, K.P.1
  • 14
    • 0009092561 scopus 로고    scopus 로고
    • The SU(∞) -Toda field equation and special four-dimensional metrics
    • in: J.E. Andersen, J. Dupont, H. Pedersen, A. Swann (Eds.), Marcel Dekker, New York
    • K.P. Tod, The SU(∞) -Toda field equation and special four-dimensional metrics, in: J.E. Andersen, J. Dupont, H. Pedersen, A. Swann (Eds.), Geometry and Physics, Marcel Dekker, New York, 1997, pp. 307-312.
    • (1997) Geometry and Physics , pp. 307-312
    • Tod, K.P.1
  • 16
    • 0002883320 scopus 로고
    • Einstein-Weyl spaces and SU(∞) Toda fields
    • Ward R.S. Einstein-Weyl spaces and. SU(∞) Toda fields Class. Quant. Grav. 7:1990;L95-L98.
    • (1990) Class. Quant. Grav. , vol.7
    • Ward, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.