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Volumn 531, Issue , 2001, Pages 121-139

HyperKähler potentials in cohomogeneity two

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EID: 0035650340     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2001.011     Document Type: Article
Times cited : (6)

References (25)
  • 1
    • 0032410363 scopus 로고    scopus 로고
    • Fano contact manifolds and nilpotent orbits
    • A. Beauville, Fano contact manifolds and nilpotent orbits, Comment. Math. Helv. 73 (1998), 566-583.
    • (1998) Comment. Math. Helv. , vol.73 , pp. 566-583
    • Beauville, A.1
  • 2
    • 0000358171 scopus 로고
    • Asymptotically Euclidean Bianchi IX metrics in quantum gravity
    • V. A. Belinskii, G. W. Gibbons, D. N. Page, and C. N. Pope, Asymptotically Euclidean Bianchi IX metrics in quantum gravity, Phys. Lett. B 76 (1978), 433-435.
    • (1978) Phys. Lett. B , vol.76 , pp. 433-435
    • Belinskii, V.A.1    Gibbons, G.W.2    Page, D.N.3    Pope, C.N.4
  • 3
    • 0003339730 scopus 로고
    • Einstein manifolds
    • Springer, Berlin-Heidelberg-New York
    • A. L. Besse, Einstein manifolds, Ergeb. Math. Grenzgeb. 3. Folge 10, Springer, Berlin-Heidelberg-New York 1987.
    • (1987) Ergeb. Math. Grenzgeb. 3. Folge , vol.10
    • Besse, A.L.1
  • 4
    • 0030530414 scopus 로고    scopus 로고
    • Sur les équations de nahm et la structure de poisson des algèbres de lie semi-simples complexes
    • O. Biquard, Sur les équations de Nahm et la structure de Poisson des algèbres de Lie semi-simples complexes, Math. Ann. 304 (1996), 253-276.
    • (1996) Math. Ann. , vol.304 , pp. 253-276
    • Biquard, O.1
  • 5
    • 0000440310 scopus 로고    scopus 로고
    • La métrique hyperkählérienne des orbites coadjointes de type symétrique d'un groupe de lie complexe semi-simple
    • O. Biquard and P. Gauduchon, La métrique hyperkählérienne des orbites coadjointes de type symétrique d'un groupe de Lie complexe semi-simple, C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 12, 1259-1264.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.323 , Issue.12 , pp. 1259-1264
    • Biquard, O.1    Gauduchon, P.2
  • 7
    • 84968516063 scopus 로고
    • Nilpotent orbits, normality and Hamiltonian group actions
    • R. Brylinski and B. Kostant, Nilpotent orbits, normality and Hamiltonian group actions, Bull. Amer. Math. Soc. 26 (1992), 269-275.
    • (1992) Bull. Amer. Math. Soc. , vol.26 , pp. 269-275
    • Brylinski, R.1    Kostant, B.2
  • 8
    • 0000592268 scopus 로고
    • Métriques kähleriennes et fibrés holomorphes
    • E. Calabi, Métriques kähleriennes et fibrés holomorphes, Ann. Scient. Éc. Norm. Sup. 12 (1978), 269-294.
    • (1978) Ann. Scient. Éc. Norm. Sup. , vol.12 , pp. 269-294
    • Calabi, E.1
  • 11
    • 0031067264 scopus 로고    scopus 로고
    • HyperKähler metrics of cohomogeneity one
    • A. S. Dancer and A. F. Swann, HyperKähler metrics of cohomogeneity one, J. Geom. Phys. 21 (1997), 218-230.
    • (1997) J. Geom. Phys. , vol.21 , pp. 218-230
    • Dancer, A.S.1    Swann, A.F.2
  • 12
    • 0033243644 scopus 로고    scopus 로고
    • Quaternionic Kähler manifolds of cohomogeneity one
    • A. S. Dancer and A. F. Swann, Quaternionic Kähler manifolds of cohomogeneity one, Intern. J. Math. 10 (1999), no. 5, 541-570.
    • (1999) Intern. J. Math. , vol.10 , Issue.5 , pp. 541-570
    • Dancer, A.S.1    Swann, A.F.2
  • 14
    • 0007342803 scopus 로고    scopus 로고
    • Integrable systems in Riemannian geometry
    • N. J. Hitchin, Integrable systems in Riemannian geometry, J. Diff. Geom. S4 (1998), 21-81.
    • (1998) J. Diff. Geom. , vol.S4 , pp. 21-81
    • Hitchin, N.J.1
  • 15
    • 0000670499 scopus 로고
    • Quaternionic geometry of a nilpolent variety
    • P. Z. Kobak and A. F. Swann, Quaternionic geometry of a nilpolent variety, Math. Ann. 297 (1993), 747-764.
    • (1993) Math. Ann. , vol.297 , pp. 747-764
    • Kobak, P.Z.1    Swann, A.F.2
  • 16
    • 0007331451 scopus 로고    scopus 로고
    • preprint 99/14, Department of Mathematical Sciences, University of Bath, July eprint math.DG/0001025
    • P. Z. Kobak and A. F. Swann, The hyperKähler geometry associated to Wolf spaces, preprint 99/14, Department of Mathematical Sciences, University of Bath, July 1999, eprint math.DG/0001025.
    • (1999) The hyperKähler Geometry Associated to Wolf Spaces
    • Kobak, P.Z.1    Swann, A.F.2
  • 18
    • 0007287136 scopus 로고    scopus 로고
    • Hyperkähler potentials via finite-dimensional quotients
    • to appear
    • P. Z. Kobak and A. F. Swann, Hyperkähler potentials via finite-dimensional quotients, Geom. Ded., to appear.
    • Geom. Ded.
    • Kobak, P.Z.1    Swann, A.F.2
  • 19
    • 0030304660 scopus 로고    scopus 로고
    • Nahm's equations and complex adjoint orbits
    • A. G. Kovalev, Nahm's equations and complex adjoint orbits, Quart. J. Math. Oxford 47 (1996), 41-58.
    • (1996) Quart. J. Math. Oxford , vol.47 , pp. 41-58
    • Kovalev, A.G.1
  • 20
    • 0001040126 scopus 로고
    • A hyper-Kählerian structure on coadjoint orbits of a semisimple complex group
    • P. B. Kronheimer, A hyper-Kählerian structure on coadjoint orbits of a semisimple complex group, J. London Math. Soc. (2) 42 (1990), 193-208.
    • (1990) J. London Math. Soc. , vol.42 , Issue.2 , pp. 193-208
    • Kronheimer, P.B.1
  • 21
    • 84972545790 scopus 로고
    • Instantons and the geometry of the nilpotent variety
    • P. B. Kronheimer, Instantons and the geometry of the nilpotent variety, J. Diff. Geom. 32 (1990), 473-490.
    • (1990) J. Diff. Geom. , vol.32 , pp. 473-490
    • Kronheimer, P.B.1
  • 23
    • 0000905632 scopus 로고
    • HyperKähler and quaternionic Kähler geometry
    • A. F. Swann, HyperKähler and quaternionic Kähler geometry, Math. Ann. 289 (1991), 421-450.
    • (1991) Math. Ann. , vol.289 , pp. 421-450
    • Swann, A.F.1
  • 24
    • 0033482640 scopus 로고    scopus 로고
    • Homogeneous twistor spaces and nilpotent orbits
    • A. F. Swann, Homogeneous twistor spaces and nilpotent orbits, Math. Ann. 313 (1999), 161-188.
    • (1999) Math. Ann. , vol.313 , pp. 161-188
    • Swann, A.F.1
  • 25
    • 0000500536 scopus 로고
    • Complex homogeneous contact manifolds and quaternionic symmetric spaces
    • J. A. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J. Math. Mech. 14 (1965), 1033-1047.
    • (1965) J. Math. Mech. , vol.14 , pp. 1033-1047
    • Wolf, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.