Computations of the Yamabe invariant

Mathematical Research Letters

Volumn 5, Issue 6, 1998, Pages 703-709

  Petean, Jimmy ^a  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032325510     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1998.v5.n6.a1     Document Type: Article

References (16)

1. [1] M. Anderson, Scalar curvature and geometrization conjectures for 3-manifolds, Comparison Geometry (Berkeley, CA, 1993-94), 49-82, Math. Sci. Res. Inst. Publ., 30, Cambridge Univ. Press, Cambridge, 1997.
2. [1] M. Anderson, Scalar curvature and geometrization conjectures for 3-manifolds, Comparison Geometry (Berkeley, CA, 1993-94), 49-82, Math. Sci. Res. Inst. Publ., 30, Cambridge Univ. Press, Cambridge, 1997.
3. [2] M. Anderson, Extrema of curvature functionals on the space of metrics on 3-manifolds, Calc. Var. Partial Differential Equations 5 (1997), 199-269.
4. [3] T. Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. Pures Appl. (9) 55 (1976), 269-296.
5. [4] M. Gromov and H.B. Lawson, The classification of simply connected manifolds of positive scalar curvature, Ann. of Math. (2) 111 (1980) 423-434.
6. [5] O. Kobayashi, Scalar curvature of a metric with unit volume, Math. Ann. 279 (1987), 253-265.
7. [6] C. LeBrun, Kodaira dimension and the Yamabe problem, to appear in Comm. Anal. Geom.
8. [7] -, Four-Manifolds without Einstein metrics, Math. Res. Lett. 3 (1996), 133-147.
9. [8] J. Petean and G. Yun, Surgery and the Yamabe invariant, to appear in GAFA.
10. [9] A. Sambusetti, An obstruction to the existence of Einstein metrics on 4-manifolds, C.R. Acad. Sci. Paris Sér. I Math. 322 (1996), 1213-1218.
11. [10] R. Schoen and S.-T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), 159-183.
12. [11] R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), 479-495.
13. [12] -, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Topics in calculus of variations (Montecatini Terme, 1987), 120-154, Lecture Notes in Math. 1365, Springer-Verlag, Berlin-New York, 1989.
14. [13] N.S. Trudinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Scuola Norm. Sup. Pisa (3) 22 (1968), 265-274.
15. [14] C.T.C. Wall, On simply connected 4-manifolds, J. London Math. Soc. 39 (1964), 141-149.
16. [15] H. Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21-37.