메뉴 건너뛰기




Volumn 14, Issue 2, 2001, Pages 199-208

Einstein metrics, hypercomplex structures and the Toda field equation

Author keywords

53A30; 53B25; 83C05; Einstein metric; Einstein Weyl geometry; Hypercomplex structure; Toda equation

Indexed keywords


EID: 0007232586     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(01)00037-7     Document Type: Article
Times cited : (39)

References (14)
  • 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
  • 2
    • 0034376483 scopus 로고    scopus 로고
    • Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
    • Preprint MS-98-12, (University of Edinburgh, 1998)
    • Calderbank D.M.J., Pedersen H. Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics. Preprint MS-98-12, (University of Edinburgh, 1998) Ann. Inst. Fourier. 50:2000;921-963.
    • (2000) Ann. Inst. Fourier , vol.50 , pp. 921-963
    • Calderbank, D.M.J.1    Pedersen, H.2
  • 3
    • 0347749175 scopus 로고    scopus 로고
    • (4,0) and (4,4) sigma models with a triholomorphic Killing vector
    • Chave T., Tod K.P., Valent G. (4,0) and (4,4) sigma models with a triholomorphic Killing vector. Phys. Lett. B. 383:1996;262-270.
    • (1996) Phys. Lett. B , vol.383 , pp. 262-270
    • Chave, T.1    Tod, K.P.2    Valent, G.3
  • 4
    • 0032065486 scopus 로고    scopus 로고
    • Hyperhermitian metrics with symmetry
    • Gauduchon P., Tod K.P. Hyperhermitian metrics with symmetry. J. Geom. Phys. 25:1998;291-304.
    • (1998) J. Geom. Phys. , vol.25 , pp. 291-304
    • Gauduchon, P.1    Tod, K.P.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 Gravitation. 16:1984;817-829.
    • (1984) Gen. Relativity Gravitation , vol.16 , pp. 817-829
    • Gegenberg, J.D.1    Das, A.2
  • 6
  • 7
    • 0000408530 scopus 로고
    • Minitwistor spaces and Einstein-Weyl spaces
    • Jones P.E., Tod K.P. Minitwistor spaces and Einstein-Weyl spaces. Classical Quantum Gravity. 2:1985;565-577.
    • (1985) Classical Quantum Gravity , vol.2 , pp. 565-577
    • Jones, P.E.1    Tod, K.P.2
  • 8
    • 0001649916 scopus 로고
    • CH -space with a cosmological constant
    • LeBrun C.R. cH -space with a cosmological constant. Proc. Roy. Soc. London A. 380:1982;171-185.
    • (1982) Proc. Roy. Soc. London a , vol.380 , pp. 171-185
    • Lebrun, C.R.1
  • 9
    • 84972508232 scopus 로고
    • Explicit self-dual metrics on CP2##CP2
    • LeBrun C.R. Explicit self-dual metrics on CP2##CP2 . J. Differential Geom. 34:1991;223-253.
    • (1991) J. Differential Geom. , vol.34 , pp. 223-253
    • Lebrun, C.R.1
  • 10
    • 0031488041 scopus 로고    scopus 로고
    • Einstein-Weyl structures in the conformal classes of LeBrun metrics
    • Madsen A.B. Einstein-Weyl structures in the conformal classes of LeBrun metrics. Classical Quantum Gravity. 14:1997;2635-2645.
    • (1997) Classical Quantum Gravity , vol.14 , pp. 2635-2645
    • Madsen, A.B.1
  • 11
    • 0003091446 scopus 로고
    • Einstein metrics, spinning top motions and monopoles
    • Pedersen H. Einstein metrics, spinning top motions and monopoles. Math. Ann. 274:1986;35-39.
    • (1986) Math. Ann. , vol.274 , pp. 35-39
    • Pedersen, H.1
  • 12
    • 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. Classical Quantum Gravity. 12:1995;1535-1547.
    • (1995) Classical Quantum Gravity , vol.12 , pp. 1535-1547
    • Tod, K.P.1
  • 13
    • 0009092561 scopus 로고    scopus 로고
    • The SU(∞) -Toda field equation and special four-dimensional metrics
    • New York: Dekker
    • Tod K.P. The SU(∞) -Toda field equation and special four-dimensional metrics. Geometry and Physics. 1997;307-312 Dekker, New York.
    • (1997) Geometry and Physics , pp. 307-312
    • Tod, K.P.1
  • 14
    • 0002883320 scopus 로고
    • Einstein-Weyl spaces and SU(∞) Toda fields
    • Ward R.S. Einstein-Weyl spaces and SU(∞) Toda fields. Classical Quantum Gravity. 7:1990;L95-L98.
    • (1990) Classical Quantum Gravity , vol.7
    • Ward, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.