메뉴 건너뛰기




Volumn 8, Issue 1, 1997, Pages 31-60

The twistor space of a 3-Sasakian manifold

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031287375     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X97000032     Document Type: Article
Times cited : (20)

References (43)
  • 1
    • 0001579635 scopus 로고
    • The index of elliptic operators: III
    • 1. M. F. Atiyah and I. M. Singer, The index of elliptic operators: III, Ann. Math. 87 (1968), 546-604.
    • (1968) Ann. Math. , vol.87 , pp. 546-604
    • Atiyah, M.F.1    Singer, I.M.2
  • 2
    • 0001498175 scopus 로고
    • The decomposition theorem for V-manifolds
    • 2. W. L. Baily, The decomposition theorem for V-manifolds, Amer. J. Math. 78 (1956), 862-888.
    • (1956) Amer. J. Math. , vol.78 , pp. 862-888
    • Baily, W.L.1
  • 3
    • 0001756882 scopus 로고
    • On the imbedding of V-manifolds in projective space
    • 3. W. L. Baily, On the imbedding of V-manifolds in projective space, Amer. J. Math. 79, (1957), 403-430.
    • (1957) Amer. J. Math. , vol.79 , pp. 403-430
    • Baily, W.L.1
  • 6
    • 0000682286 scopus 로고
    • Quaternionic reduction and Einstein manifolds
    • 6. C. P. Boyer, K. Galicki, and B.M. Mann, Quaternionic reduction and Einstein manifolds, Commun. Anal. Geom. 1, no. 2 (1993), 229-279.
    • (1993) Commun. Anal. Geom. , vol.1 , Issue.2 , pp. 229-279
    • Boyer, C.P.1    Galicki, K.2    Mann, B.M.3
  • 7
    • 33646826916 scopus 로고
    • The geometry and topology of 3-Sasakian manifolds
    • 7. C. P. Boyer, K. Galicki, and B.M. Mann, The geometry and topology of 3-Sasakian Manifolds, J. reine angew. Math. 455 (1994), 183-220.
    • (1994) J. Reine Angew. Math. , vol.455 , pp. 183-220
    • Boyer, C.P.1    Galicki, K.2    Mann, B.M.3
  • 9
  • 10
    • 0000310876 scopus 로고
    • Homogeneous complex contact manifolds
    • 10. W. M. Boothby, Homogeneous complex contact manifolds, Proc. Symp. Pure Math. 3 (1961), 144-154.
    • (1961) Proc. Symp. Pure Math. , vol.3 , pp. 144-154
    • Boothby, W.M.1
  • 12
    • 0011009050 scopus 로고
    • Einstein-Kähler metrics of positive Ricci curvature
    • Academic Press
    • 12. A. Futaki, T. Mabuchi, and Y. Sakane, Einstein-Kähler metrics of positive Ricci curvature, Advanced Studies in Pure Math. 18-II, Academic Press, 1990, pp. 11-83.
    • (1990) Advanced Studies in Pure Math. , vol.18 , Issue.2 , pp. 11-83
    • Futaki, A.1    Mabuchi, T.2    Sakane, Y.3
  • 14
    • 33646852332 scopus 로고
    • Quaternionic reduction and quaternionic orbifolds
    • 14. K. Galicki and B. H. Lawson, Jr., Quaternionic reduction and quaternionic orbifolds, Math. Ann. 282 (1988), 1-21.
    • (1988) Math. Ann. , vol.282 , pp. 1-21
    • Galicki, K.1    Lawson B.H., Jr.2
  • 15
    • 0002833134 scopus 로고    scopus 로고
    • On Betti numbers of 3-Sasakian manifolds
    • 15. K. Galicki and S. Salamon, On Betti numbers of 3-Sasakian manifolds, Geom. Ded. 63 (1996), 45-68.
    • (1996) Geom. Ded. , vol.63 , pp. 45-68
    • Galicki, K.1    Salamon, S.2
  • 16
    • 0002514955 scopus 로고
    • Groupoides d'holonomie et classifiants
    • 16. A. Haefliger, Groupoides d'holonomie et classifiants, Astérisque 116 (1984), 70-97.
    • (1984) Astérisque , vol.116 , pp. 70-97
    • Haefliger, A.1
  • 18
    • 85033074107 scopus 로고    scopus 로고
    • unpublished
    • 18. N. Hitchin, unpublished.
    • Hitchin, N.1
  • 19
    • 84972513701 scopus 로고
    • Quaternion Kählerian manifolds and fibered Riemannian spaces with Sasakian 3-structure
    • 19. Ishihara, Quaternion Kählerian manifolds and fibered Riemannian spaces with Sasakian 3-structure, Kodai Math. Sem. Rep. 25 (1973), 321-329.
    • (1973) Kodai Math. Sem. Rep. , vol.25 , pp. 321-329
  • 21
    • 0001541126 scopus 로고
    • Real contact 3-structure and complex contact structure
    • 21. S. Ishihara and M. Konishi, Real contact 3-structure and complex contact structure, Sea. Bull. Math. 3 (1979) 151-161.
    • (1979) Sea. Bull. Math. , vol.3 , pp. 151-161
    • Ishihara, S.1    Konishi, M.2
  • 22
    • 84972487961 scopus 로고
    • The Riemann-Roch theorem for complex V-manifolds
    • 22. T. Kawasaki, The Riemann-Roch theorem for complex V-manifolds, Osaka J. Math. 16 (1979), 151-159.
    • (1979) Osaka J. Math. , vol.16 , pp. 151-159
    • Kawasaki, T.1
  • 23
    • 0003312306 scopus 로고
    • Cohomology of quotients in symplectic and algebraic geometry
    • Princeton Univ. Press
    • 23. F. Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry, Math. Notes. 31, Princeton Univ. Press, 1984.
    • (1984) Math. Notes , vol.31
    • Kirwan, F.1
  • 24
    • 0002403297 scopus 로고
    • Characterizations of complex protective spaces and hyperquadrics
    • 24. S. Kobayashi and T. Ochiai, Characterizations of complex protective spaces and hyperquadrics, J. Math. Kyoto. Univ. 13 (1973), 31-47.
    • (1973) J. Math. Kyoto. Univ. , vol.13 , pp. 31-47
    • Kobayashi, S.1    Ochiai, T.2
  • 25
    • 0011020450 scopus 로고
    • On compact Kähler manifolds with positive Ricci tensor
    • 25. S. Kobayashi, On compact Kähler manifolds with positive Ricci tensor, Ann. of Math. 74 (1961), 381-385.
    • (1961) Ann. of Math. , vol.74 , pp. 381-385
    • Kobayashi, S.1
  • 27
    • 84972513574 scopus 로고
    • On manifolds with Sasakian 3-structure over quaternion Kählerian manifolds
    • 27. M. Konishi, On manifolds with Sasakian 3-structure over quaternion Kählerian manifolds, Kodai Math. Sem. Reps. 26 (1975), 194-200.
    • (1975) Kodai Math. Sem. Reps. , vol.26 , pp. 194-200
    • Konishi, M.1
  • 28
    • 0001300923 scopus 로고
    • Fano manifolds, contact structures, and quaternionic geometry
    • 28. C. LeBrun, Fano manifolds, contact structures, and quaternionic geometry, Int. J. Math. 6 (1995), 419-437.
    • (1995) Int. J. Math. , vol.6 , pp. 419-437
    • LeBrun, C.1
  • 29
    • 0002416759 scopus 로고
    • A finiteness theorem for quaternionic-Kähler manifolds with positive scalar curvature
    • 29. C. LeBrun, A finiteness theorem for quaternionic-Kähler manifolds with positive scalar curvature, Contemporary Math. 154 (1993), 89-101.
    • (1993) Contemporary Math. , vol.154 , pp. 89-101
    • LeBrun, C.1
  • 30
    • 0001053860 scopus 로고
    • Strong rigidity of positive quaternion-Kähler manifolds
    • 30. C. LeBrun and S. M. Salamon, Strong rigidity of positive quaternion-Kähler manifolds, Invent. Math. 118 (1994), 109-132.
    • (1994) Invent. Math. , vol.118 , pp. 109-132
    • LeBrun, C.1    Salamon, S.M.2
  • 33
    • 0002382292 scopus 로고
    • A numerical criterion for uniruledness
    • 33. Y Miyaoka and S. Mori, A numerical criterion for uniruledness, Ann. Math. 124 (1986), 65-69.
    • (1986) Ann. Math. , vol.124 , pp. 65-69
    • Miyaoka, Y.1    Mori, S.2
  • 34
    • 0000180610 scopus 로고
    • Towards an enumerative geometry of the moduli space of curves
    • Birkhäuser
    • 34. D. Mumford, Towards an enumerative geometry of the moduli space of curves, in Arithmetic and Geometry Vol. II, Birkhäuser, 1983, pp. 271-328.
    • (1983) Arithmetic and Geometry , vol.2 , pp. 271-328
    • Mumford, D.1
  • 35
    • 84972577173 scopus 로고
    • Contact structures on twistor spaces
    • 35. T. Nitta and M. Takeuchi, Contact structures on twistor spaces, J. Math. Soc. Japan 39 (1987), 139-162.
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 139-162
    • Nitta, T.1    Takeuchi, M.2
  • 36
    • 0002125267 scopus 로고
    • Quaternionic Kähler manifolds
    • 36. S. Salamon, Quaternionic Kähler manifolds, Invent. Math. 67 (1982), 143-171.
    • (1982) Invent. Math. , vol.67 , pp. 143-171
    • Salamon, S.1
  • 37
    • 84972514188 scopus 로고
    • Spherical space forms with normal contact metric 3-structure
    • 37. S. Sasaki, Spherical space forms with normal contact metric 3-structure, J. Diff. Geom. 6 (1972), 307-315.
    • (1972) J. Diff. Geom. , vol.6 , pp. 307-315
    • Sasaki, S.1
  • 38
    • 84972513491 scopus 로고
    • The Gauss-Bonnet theorem for V-manifolds
    • 38. I. Satake, The Gauss-Bonnet theorem for V-manifolds, J. Math. Soc. Japan 9, no 4 (1957), 464-476.
    • (1957) J. Math. Soc. Japan , vol.9 , Issue.4 , pp. 464-476
    • Satake, I.1
  • 39
    • 0000905632 scopus 로고
    • Hyperkähler and quaternionic Kähler geometry
    • 39. 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
  • 40
    • 84972570064 scopus 로고
    • On harmonic tensors in compact Sasakian spaces
    • 40. S. Tachibana, On harmonic tensors in compact Sasakian spaces, Tôhoku Math. J. 17 (1965), 271-284.
    • (1965) Tôhoku Math. J. , vol.17 , pp. 271-284
    • Tachibana, S.1
  • 42
    • 0001983175 scopus 로고
    • Self-dual space-times with cosmological constant
    • 42. R. S. Ward, Self-dual space-times with cosmological constant, Commun. Math. Phys. 78 (1980), 1-17.
    • (1980) Commun. Math. Phys. , vol.78 , pp. 1-17
    • Ward, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.