Compact riemannian 7-manifolds with holonomy G2. II

Journal of Differential Geometry

Volumn 43, Issue 2, 1996, Pages 329-375

  Joyce, Dominic D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030093202     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214458110     Document Type: Article

References (28)

1. P.S. Aspinwall & C.A. Lütken, Geometry of mirror manifolds, Nucl. Phys. B353 (1991) 427-461.
2. A. Beauville, Exposé XIII, Géométrie des surfaces K3: modules et périodes, Séminaire Palaiseau 1981, Astérisque 126 (1985) 141-152.
3. A.L. Besse, Einstein manifolds, Springer, New York, 1987.
4. R.L. Bryant, Metrics with exceptional holonomy, Ann. Math. 126 (1987) 525-576.
5. R.L. Bryant & F.R. Harvey, Some remarks on the geometry of manifolds with exceptional holonomy, Preprint, 1994.
6. R.L. Bryant & S.M. Salamon, On the construction of some complete metrics with exceptional holonomy, Duke Math. J. 58 (1989) 829-850.
7. E. Calabi, On Kahler manifolds with vanishing canonical class, Algebraic geometry and topology, a symposium in honour of S. Lefschetz, Princeton Univ. Press, Princeton, 78-89, 1957.
8. E. Calabi, Métriques kahlériennes et fibres holomorphes, Ann. scient. Éc. norm. sup. 12 (1979) 269-294.
9. P. Candelas, M. Lynker & R. Schimmrigk, Calabi-Yau manifolds in weighted PJ, Nucl. Phys. B341 (1990) 383-402.
10. T. Eguchi & A. J. Hanson, Asymptotically flat solutions to Euclidean gravity, Phys. Lett. 74B (1978) 249-251.
11. G. W. Gibbons & S.W. Hawking, Gravitational multi-instantons, Phys. Lett. 78B (1978) 430-432.
12. A. Gray, The structure of nearly Kahler manifolds, Math. Ann. 223 (1976) 233-248.
13. R. Harvey & H. B. Lawson. Calibrated geometries, Acta Math. 148 (1982) 47-157.
14. Y. Ito, Crêpant resolution of trihedral singularities, Preprint, 1994.
15. 2. I, J. Differential Geometry 43 (1996) 291 - 328.
16. P. B. Kronheimer, The construction of ALE spaces as hyperkdhler quotients, J. Diff. Geom. 29 (1989) 665-683.
17. P. B. Kronheimer, A Torelli-type theorem for gravitational instantons, J. Diff. Geom. 29 (1989) 685-697.
18. C. LeBrun & M. Singer, A Kummer-type construction of self-dual 4-manifolds, Math. Ann. 300 (1994) 165-180.
19. D.G. Markushevich, M.A. Olshanetsky & A.M. Perelomov, Description of a class of superstring compactifications related to semi-simple Lie algebras, Comm. Math. Phys. Ill (1987) 247-274.
20. R.C. McLean, Deformations and moduli of calibrated submanifolds, Ph.D. thesis, Duke University, 1990.
21. C. Nunan, Manifolds with reduced holonomy, dissertation, Oxford University, 1994.
22. D.N. Page, A physical picture of the K3 gravitational instanton, Phys. Lett. 80B (1978) 55-57.
23. S.-S. Roan, On the generalization of Kummer surfaces, J. Diff. Geom. 30 (1989) 523-537.
24. S.M. Salamon, Riemannian geometry and holonomy groups, Pitman Res. Notes in Math. 201, Longman, Harlow, 1989.
25. S.M. Salamon, On the cohomology of Kahler and hyper-Kahler manifolds, Preprint, 1993.
26. G. Tian & S.-T. Yau, Complete Kahler manifolds with zero Ricci curvature. II, Invent, math. 106 (1991) 27-60.
27. P. Topiwala, A new proof of the existence of Kahler-Einstein metrics on K3. I, Invent. Math. 89 (1987) 425-448.
28. S.-T. Yau, On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equations. I, Comm. Pure Appl. Math. 31 (1978) 339-411.