Constant scalar curvature metrics on connected sums

International Journal of Mathematics and Mathematical Sciences

Volumn 2003, Issue 7, 2003, Pages 405-450

  Joyce, Dominic ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17844381291     PISSN: 01611712     EISSN: None     Source Type: Journal    
DOI: 10.1155/S016117120310806X     Document Type: Article

References (14)

1. T. Aubin, Nonlinear Analysis on Manifolds. Monge-Ampère Equations, Grundlehren der mathematischen Wissenschaften, vol. 252, Springer-Verlag, New York, 1982. MathSciNet. Zentralblatt für Mathematik.
2. R. Bartnik, The mass of an asymptotically flat manifold, Comm. Pure Appl. Math. 39 (1986), no. 5, 661-693. MathSciNet. Zentralblatt für Mathematik.
3. M. Gromov and H. B. Lawson Jr., The classification of simply connected manifolds of positive scalar curvature, Ann. of Math. (2) 111 (1980), no. 3, 423-434. MathSciNet. Zentralblatt für Mathematik.
4. L. Hörmander, Linear Partial Differential Operators, Die Grundlehren der mathematischen Wissenschaften, vol. 116, Springer-Verlag, Berlin, 1963. MathSciNet. Zentralblatt für Mathematik.
5. D. D. Joyce, Hypercomplex and quaternionic manifolds, and scalar curvature on connected sums, Ph.D. thesis, University of Oxford, Oxford, 1992.
6. O. Kobayashi, Scalar curvature of a metric with unit volume, Math. Ann. 279 (1987), no. 2, 253-265. MathSciNet. Zentralblatt für Mathematik.
7. J. M. Lee and T. H. Parker, The Yamabe problem, Bull. Amer. Math. Soc. (N.S.) 17 (1987), no. 1, 37-91. MathSciNet. Zentralblatt für Mathematik.
8. R. Mazzeo, D. Pollack, and K. Uhlenbeck, Connected sum constructions for constant scalar curvature metrics, Topol. Methods Nonlinear Anal. 6 (1995), no. 2, 207-233. MathSciNet. Zentralblatt für Mathematik.
9. R. M. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), no. 2, 479-495. MathSciNet. Zentralblatt für Mathematik.
10. R. M. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in Calculus of Variations (Montecatini Terme, 1987) (M. Giaquinta, ed.), Lecture Notes in Mathematics, vol. 1365, Springer, Berlin, 1989, pp. 120-154. MathSciNet. Zentralblatt für Mathematik.
11. R. M. Schoen and S.-T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), no. 1-3, 159-183. MathSciNet. Zentralblatt für Mathematik.
12. N. S. Trudinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa (3) 22 (1968), 265-274. MathSciNet. Zentralblatt für Mathematik.
13. E. Witten, A new proof of the positive energy theorem, Comm. Math. Phys. 80 (1981), no. 3, 381-402. MathSciNet.
14. H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21-37. MathSciNet. Zentralblatt für Mathematik.