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Volumn 354, Issue 8, 2002, Pages 2983-2996

Sasakian-Einstein structures on 9# (S2 × S3)

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EID: 0036701343     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03015-5     Document Type: Article
Times cited : (25)

References (25)
  • 1
    • 0004058055 scopus 로고
    • Be, Springer-Ver̀lag, Berlin and New York. MR 88f:53087
    • [Be] A. Besse, Einstein Manifolds, Springer-Verlag, Berlin and New York, 1987. MR 88f:53087.
    • (1987) Einstein Manifolds
    • Besse, A.1
  • 2
    • 0034259963 scopus 로고    scopus 로고
    • On sasakian-einstein geometry
    • BG1. MR 2001k:53081
    • [BG1] C.P. Boyer and K. Galicki, On Sasakian-Einstein Geometry, Internat. J. of Math. 11 (2000), 873-909. MR 2001k:53081.
    • (2000) Internat. J. of Math. , vol.11 , pp. 873-909
    • Boyer, C.P.1    Galicki, K.2
  • 3
    • 0003389096 scopus 로고    scopus 로고
    • 3-Sasakian manifolds, surveys in differential geometry VI: Essays on einstein manifolds
    • BG2, eds. C. LeBrun, M. Wang; International Press, Cambridge. MR 2001m:53076
    • [BG2] C.P. Boyer and K Galicki. 3-Sasakian Manifolds, Surveys in Differential Geometry VI: Essays on Einstein Manifolds A supplement to the Journal of Differential Geometry, pp. 123-184, (eds. C. LeBrun, M. Wang); International Press, Cambridge 1999. MR 2001m:53076.
    • (1999) A supplement to the Journal of Differential Geometry , pp. 123-184
    • Boyer, C.P.1    Galicki, K.2
  • 4
    • 0035294691 scopus 로고    scopus 로고
    • New einstein metrics in dimension five
    • BG3. math.DG/0003174
    • [BG3] C.P. Boyer and K. Galicki. New Einstein Metrics in Dimension Five. J. Diff. Geom. 57 (2001), 443-463. math. DG/0003174.
    • (2001) J. Diff. Geom. , vol.57 , pp. 443-463
    • Boyer, C.P.1    Galicki, K.2
  • 7
    • 0011080222 scopus 로고    scopus 로고
    • Chern classes and hirzebruch-riemann-roch theorem for coherent sheaves on complex projective orbifolds with isolated singularities
    • Bla. MR 97d:14015
    • [Bla] R. Blache, Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex projective orbifolds with isolated singularities, Math. Z. 222 (1996), 7-57. MR 97d:14015.
    • (1996) Math. Z. , vol.222 , pp. 7-57
    • Blache, R.1
  • 8
    • 0002008201 scopus 로고
    • Uniqueness of Einstein Kähler metrics modulo connected group actions
    • BM. MR 89c:53029
    • [BM] S. Bando and T. Mabuchi, Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions, Adv. Stud. Pure Math. 10 (1987), 11-40. MR 89c:53029.
    • (1987) Adv. Stud. Pure Math. , vol.10 , pp. 11-40
    • Bando, S.1    Mabuchi, T.2
  • 9
    • 0000817732 scopus 로고    scopus 로고
    • Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds
    • DK, preprint AG/9910118
    • [DK] J.-P. Demailly and J. Kollár, Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds, preprint AG/9910118, to appear in Ann. Scient. Ec. Norm. Sup. Paris (4) 34 (2001), 525-556.
    • (2001) Ann. Scient. Ec. Norm. Sup. Paris , vol.34 , Issue.4 , pp. 525-556
    • Demailly, J.-P.1    Kollár, J.2
  • 10
    • 0002874393 scopus 로고
    • Weighted projective varieties
    • Do1, Vancouver LNM. MR 85g:14060
    • [Do1] I. Dolgachev, Weighted projective varieties, in Proceedings, Group Actions and Vector Fields. Vancouver (1981) LNM 956, 34-71. MR 85g:14060.
    • (1981) Proceedings, Group Actions and Vector Fields , vol.956 , pp. 34-71
    • Dolgachev, I.1
  • 11
    • 0002963578 scopus 로고    scopus 로고
    • Working with weighted complete intersections
    • Fle, Preprint MPI/89-95, A. Corti and M. Reid, eds., Cambridge Univ. Press, MR 2001k:14089
    • [Fle] A.R. Iano-Fletcher, Working with weighted complete intersections, Preprint MPI/89-95, revised version in Explicit birational geometry of 3-folds, A. Corti and M. Reid, eds., Cambridge Univ. Press, 2000, pp 101-173. MR 2001k:14089.
    • (2000) Explicit birational geometry of 3-folds , pp. 101-173
    • Iano-Fletcher, A.R.1
  • 12
    • 84972518035 scopus 로고
    • On compact four-dimensional Einstein manifolds
    • Hit. MR 50:3149
    • [Hit] N. Hitchin, On compact four-dimensional Einstein manifolds, J. Diff. Geom. 9 (1974), 435-442. MR 50:3149.
    • (1974) J. Diff. Geom. , vol.9 , pp. 435-442
    • Hitchin, N.1
  • 13
    • 0035582028 scopus 로고    scopus 로고
    • Kähler-Einstein metrics on log del pezzo surfaces in weighted projective 3-space
    • JK1. MR 2002b:32041
    • [JK1] J.M. Johnson and J. Kollár, Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-space, Ann. Inst. Fourier 51(1) (2001) 69-79. MR 2002b:32041.
    • (2001) Ann. Inst. Fourier , vol.51 , Issue.1 , pp. 69-79
    • Johnson, J.M.1    Kollár, J.2
  • 14
    • 0040970362 scopus 로고    scopus 로고
    • Fano hypersurfaces in weighted projective 4-spaces
    • JK2. MR 2002a:14048
    • [JK2] J.M. Johnson and J. Kollár, Fano hypersurfaces in weighted projective 4-spaces, Experimental Math. 10(1) (2001) 151-158. MR 2002a:14048.
    • (2001) Experimental Math. , vol.10 , Issue.1 , pp. 151-158
    • Johnson, J.M.1    Kollár, J.2
  • 15
    • 0002254221 scopus 로고
    • The signature theorem for V-manifolds
    • Kaw
    • [Kaw] T. Kawasaki, The signature theorem for V-manifolds, Topology 17 (1978), 75-83.
    • (1978) Topology , vol.17 , pp. 75-83
    • Kawasaki, T.1
  • 17
    • 36749052892 scopus 로고    scopus 로고
    • Four-dimensional Einstein manifolds, and beyond, surveys in differential geometry VI: Essays on Einstein manifolds
    • LeB, eds. C. LeBrun, M. Wang; International Press, Cambridge, MR 2001m:53072
    • [LeB] C. LeBrun, Four-Dimensional Einstein Manifolds, and Beyond, Surveys in Differential Geometry VI: Essays on Einstein Manifolds; A supplement to the Journal of Differential Geometry, pp. 247-285, (eds. C. LeBrun, M. Wang); International Press, Cambridge (1999). MR 2001m:53072.
    • (1999) A supplement to the Journal of Differential Geometry , pp. 247-285
    • LeBrun, C.1
  • 18
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • Mil, Princeton Univ. Press, MR 39:969
    • [Mil] J. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math. Stud. 61. Princeton Univ. Press, 1968. MR 39:969.
    • (1968) Ann. of Math. Stud. , vol.61
    • Milnor, J.1
  • 19
    • 0000460703 scopus 로고
    • Isolated singularities defined by weighted homogeneous polynomials
    • MO. MR 45:2757
    • [MO] J. Milnor and P. Orlik, Isolated singularities defined by weighted homogeneous polynomials, Topology 9 (1970), 385-393. MR 45:2757.
    • (1970) Topology , vol.9 , pp. 385-393
    • Milnor, J.1    Orlik, P.2
  • 20
    • 0001528453 scopus 로고
    • Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
    • Na. MR 92d:32028
    • [Na] A.M. Nadel, Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature, Ann. Math. 138 (1990), 549-596. MR 92d:32028.
    • (1990) Ann. Math. , vol.138 , pp. 549-596
    • Nadel, A.M.1
  • 21
    • 0000090818 scopus 로고
    • The homology of generalized Brieskorn manifolds
    • Ran. MR 54:1270
    • [Ran] R.C. Randell, The homology of generalized Brieskorn manifolds, Topology 14 (1975), 347-355. MR 54:1270.
    • (1975) Topology , vol.14 , pp. 347-355
    • Randell, R.C.1
  • 22
    • 84972513491 scopus 로고
    • The gauss-bonnet theorem for V-manifolds
    • Sat. MR 20:2022
    • [Sat] I. Satake, The Gauss-Bonnet theorem for V-manifolds, J. Math. Soc. Japan 9 4. (1957), 464-476. MR 20:2022.
    • (1957) J. Math. Soc. Japan , vol.94 , pp. 464-476
    • Satake, I.1
  • 23
    • 0001844069 scopus 로고
    • On the structure of 5-manifolds
    • Sm. MR 25:4544
    • [Sm] S. Smale, On the structure of 5-manifolds, Ann. Math. 75 (1962), 38-46. MR 25:4544.
    • (1962) Ann. Math. , vol.75 , pp. 38-46
    • Smale, S.1
  • 24
    • 80051555176 scopus 로고    scopus 로고
    • Einstein manifolds with zero ricci curvature, surveys in differential geometry VI: Essays on Einstein manifolds
    • Y, eds. C. LeBrun, M. Wang; International Press, Cambridge
    • [Y] S.-T. Yau, Einstein manifolds with zero Ricci curvature, Surveys in Differential Geometry VI: Essays on Einstein Manifolds; A supplement to the Journal of Differential Geometry, pp.1-14, (eds. C. LeBrun, M. Wang); International Press, Cambridge (1999).
    • (1999) A supplement to the Journal of Differential Geometry , pp. 1-14
    • Yau, S.-T.1
  • 25
    • 0003354667 scopus 로고
    • Structures on manifolds
    • YK, World Scientific Pub. Co., Singapore. MR 86g:53001
    • [YK] K. Yano and M. Kon, Structures on manifolds, Series in Pure Mathematics 3, World Scientific Pub. Co., Singapore, 1984. MR 86g:53001.
    • (1984) Series in Pure Mathematics , vol.3
    • Yano, K.1    Kon, M.2


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