Rigidity of homogeneous contact manifolds under Fano deformation

Journal fur die Reine und Angewandte Mathematik

Volumn 486, Issue , 1997, Pages 153-163

  Hwang, Jun Muk ^a  

^a Seoul National University   (South Korea)

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EID: 0031287686     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. W. Boothby, Homogeneous complex contact manifolds, Proc. symp. pure math. 3 (Differential Geometry) (1961), 144-154.
2. R. Bott, Homogeneous vector bundles, Ann. Math. 66 (1957), 203-248.
3. J.-M. Hwang and N. Mok, Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation, Preprint (1996).
4. K. Kodaira, On stability of compact submanifolds of complex manifolds. Amer. J. Math. 85 (1963), 79-94.
5. J. Kollár, Rational curves on algebraic varieties, Springer Verlag, 1995.
6. S. Kobayashi and T. Ochiai, Characterization of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ. 13 (1973), 31-47.
7. C. LeBrun, A rigidity theorem for quaternionic Kähler manifolds, Proc. Am. Math. Soc. 103 (1988), 1205-1208.
8. C. LeBrun, Fano manifolds, contact structures, and quaternionic geometry, International J. Math. 6 (1995), 419-437.
9. C. LeBrun and S. Salamon, Strong rigidity of positive quaternion-Kähler manifolds, Invent. Math. 118 (1994), 109-132.
10. H. Nakagawa and R. Takagi, On locally symmetric Kähler manifolds in a complex projective space, J. Math. Soc. Japan 28 (1976), 638-667.
11. A. Onishchick and E. Vinberg, Lie groups and algebraic groups, Springer Verlag, 1990.
12. J. Wisniewski, On Fano manifolds of large index, Manuscr. Math. 70 (1991), 145-152.
13. J. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J. Math. Mech. 14 (1965), 1033-1047.