Betti numbers of 3-sasakian quotients of spheres by tori

Bulletin of the London Mathematical Society

Volumn 29, Issue 6, 1997, Pages 731-736

  Bielawski, Roger ^a  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040516853     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609397003482     Document Type: Article

References (11)

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3. C. P. BOYER and K. GALICKI, 'The twistor space of a 3-Sasakian manifold', Internat. J. Math., to appear.
4. C. P. BOYER, K. GALICKI and B. M. MANN, 'Quaternionic reduction and Einstein manifolds', Comm. Anal. Geom. 1 (1993) 1-51.
5. 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.
6. C. P. BOYER, K. GALICKI and B. M. MANN, 'A note on smooth toral reductions of spheres', preprint (1996).
7. C. P. BOYER, K. GALICKI, B. M. MANN and E. G. REES, 'Compact 3-Sasakian 7-manifolds with arbitrary second Betti number', Invent. Math., to appear.
8. W. FULTON, Introduction to toric varieties, Ann. of Math. Stud. 131 (Princeton University Press, 1993).
9. K. GALICKI and S. SALAMON, 'Betti numbers of 3-Sasakian manifolds', Geom. Dedicata 63 (1996) 45-68.
10. B. GRÜNBAUM, Convex polytopes (Interscience, New York, 1967).
11. N. J. HITCHIN, 'Kählerian twistor spaces', Proc. London Math. Soc. (3) 43 (1981) 133-150.