메뉴 건너뛰기




Volumn 5, Issue 4, 1998, Pages 423-438

Weyl curvature, Einstein metrics, and Seiberg-Witten theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032219335     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1998.v5.n4.a1     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 85033509408 scopus 로고
    • Inégalités concernant la première valeur propre non nulle du Laplacien pour certaines variétés Riemanniennes
    • 1. T. Aubin, Inégalités concernant la première valeur propre non nulle du Laplacien pour certaines variétés Riemanniennes, C. R. Acad. Sci. Paris 281 (1975), A979-A982.
    • (1975) C. R. Acad. Sci. Paris , vol.281
    • Aubin, T.1
  • 2
    • 0000889568 scopus 로고
    • Equations du type Monge-Ampère sur les variétés Kählériennes compactes
    • 2. -, Equations du type Monge-Ampère sur les variétés Kählériennes compactes, C. R. Acad. Sci. Paris 283A (1976), 119-121.
    • (1976) C. R. Acad. Sci. Paris , vol.283 A , pp. 119-121
  • 4
    • 0000064086 scopus 로고
    • Volume et entropie minimale des espaces localement symétriques
    • 4. G. Besson, G. Courtois, and S. Gallot, Volume et entropie minimale des espaces localement symétriques, Invent. Math. 103 (1991), 417-445.
    • (1991) Invent. Math. , vol.103 , pp. 417-445
    • Besson, G.1    Courtois, G.2    Gallot, S.3
  • 5
    • 0000168310 scopus 로고
    • Entropies et rigidités des espaces localement symétriques de courbure strictement négative
    • 5. -, Entropies et rigidités des espaces localement symétriques de courbure strictement négative, Geom. and Func. An. 5 (1995), 731-799.
    • (1995) Geom. and Func. An. , vol.5 , pp. 731-799
  • 6
    • 34250245407 scopus 로고
    • Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
    • 6. J. P. Bourguignon, Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein, Invent. Math. 63 (1981), 263-286.
    • (1981) Invent. Math. , vol.63 , pp. 263-286
    • Bourguignon, J.P.1
  • 7
    • 84972496726 scopus 로고
    • On the topology of 4-Manifolds
    • 7. M. Freedman, On the topology of 4-Manifolds, J. Diff. Geom. 17 (1982), 357-454.
    • (1982) J. Diff. Geom. , vol.17 , pp. 357-454
    • Freedman, M.1
  • 8
    • 0000197201 scopus 로고
    • Immersed spheres in 4-Manifolds and the immersed Thom conjecture
    • 8. R. Fintushel and R. Stern, Immersed spheres in 4-Manifolds and the immersed Thom conjecture, Turk. J. Math. 19 (1995), 145-157.
    • (1995) Turk. J. Math. , vol.19 , pp. 145-157
    • Fintushel, R.1    Stern, R.2
  • 9
    • 0002344449 scopus 로고
    • Volume and bounded cohomology
    • 9. M. Gromov, Volume and bounded cohomology, Publ. IHES 56 (1982), 5-99.
    • (1982) Publ. IHES , vol.56 , pp. 5-99
    • Gromov, M.1
  • 10
    • 84972518035 scopus 로고
    • Compact four-dimensional Einstein manifolds
    • 10. N. Hitchin, Compact four-dimensional Einstein manifolds, J. Diff. Geom. 9 (1974), 435-441.
    • (1974) J. Diff. Geom. , vol.9 , pp. 435-441
    • Hitchin, N.1
  • 12
    • 84972512682 scopus 로고
    • A new method of constructing scalar-flat Kahler surfaces
    • 12. J.-S. Kim and M. Pontecorvo, A new method of constructing scalar-flat Kahler surfaces, J. Diff. Geom. 41 (1995), 449-477.
    • (1995) J. Diff. Geom. , vol.41 , pp. 449-477
    • Kim, J.-S.1    Pontecorvo, M.2
  • 13
    • 0000065535 scopus 로고    scopus 로고
    • Einstein metrics and smooth structures
    • 13. D. Kotschick, Einstein metrics and smooth structures, Geom. Topol. 2 (1998), 1-10.
    • (1998) Geom. Topol. , vol.2 , pp. 1-10
    • Kotschick, D.1
  • 14
    • 0001278369 scopus 로고
    • The genus of embedded surfaces in the complex projective plane
    • 14. P. Kronheimer and T. Mrowka, The genus of embedded surfaces in the complex projective plane, Math. Res. Lett. 1 (1994), 797-808.
    • (1994) Math. Res. Lett. , vol.1 , pp. 797-808
    • Kronheimer, P.1    Mrowka, T.2
  • 15
  • 16
    • 0000206057 scopus 로고
    • Remarques sur les variétés conformément plates
    • 16. J. Lafontaine, Remarques sur les variétés conformément plates, Math. Ann. 259 (1982), 313-319.
    • (1982) Math. Ann. , vol.259 , pp. 313-319
    • Lafontaine, J.1
  • 17
    • 0001047506 scopus 로고
    • On the topology of self-dual 4-manifolds
    • 17. C. LeBrun, On the topology of self-dual 4-manifolds, Proc. Amer. Math. Soc. 98 (1986), 637-640.
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 637-640
    • LeBrun, C.1
  • 18
    • 0001577486 scopus 로고
    • Scalar-flat Kähler metrics on blown-up ruled surfaces
    • 18. -, Scalar-flat Kähler metrics on blown-up ruled surfaces, J. reine angew. Math. 420 (1991), 161-177.
    • (1991) J. Reine Angew. Math. , vol.420 , pp. 161-177
  • 19
    • 0002137498 scopus 로고
    • Einstein metrics and Mostow rigidity
    • 19. -, Einstein metrics and Mostow rigidity, Math. Res. Lett. 2 (1995), 1-8.
    • (1995) Math. Res. Lett. , vol.2 , pp. 1-8
  • 20
    • 21844495552 scopus 로고
    • Polarized 4-manifolds, extremal kähler metrics, and Seiberg-Witten theory
    • 20. -, Polarized 4-manifolds, extremal Kähler metrics, and Seiberg-Witten theory, Math. Res. Lett. 2 (1995), 653-662.
    • (1995) Math. Res. Lett. , vol.2 , pp. 653-662
  • 21
    • 0030306212 scopus 로고    scopus 로고
    • Four-manifolds without Einstein metrics
    • 21. -, Four-manifolds without Einstein metrics, Math. Res. Lett. 3 (1996), 133-147.
    • (1996) Math. Res. Lett. , vol.3 , pp. 133-147
  • 22
    • 85033536721 scopus 로고    scopus 로고
    • Kodaira dimension and the Yamabe problem
    • dg-ga archive e-print 9702012; (to appear)
    • 22. -, Kodaira dimension and the Yamabe problem, dg-ga archive e-print 9702012; Comm. An. Geom. (to appear).
    • Comm. An. Geom.
  • 24
    • 0000655883 scopus 로고    scopus 로고
    • An obstruction to the existence of Einstein metrics on 4-manifolds
    • 24. A. Sambusetti, An obstruction to the existence of Einstein metrics on 4-manifolds, C. R. Acad. Sci. Paris 322 (1996), 1213-1218.
    • (1996) C. R. Acad. Sci. Paris , vol.322 , pp. 1213-1218
    • Sambusetti, A.1
  • 25
    • 84972506352 scopus 로고
    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • 25. R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Diff. Geom. 20 (1984), 479-495.
    • (1984) J. Diff. Geom. , vol.20 , pp. 479-495
    • Schoen, R.1
  • 26
    • 84972541774 scopus 로고
    • The existence of anti-self-dual conformal structures
    • 26. C. H. Taubes, The existence of anti-self-dual conformal structures, J. Diff. Geom. 36 (1992), 163-253.
    • (1992) J. Diff. Geom. , vol.36 , pp. 163-253
    • Taubes, C.H.1
  • 27
    • 0000368324 scopus 로고
    • The Seiberg-Witten invariants and symplectic forms
    • 27. -, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994), 809-822.
    • (1994) Math. Res. Lett. , vol.1 , pp. 809-822
  • 28
    • 0000973618 scopus 로고
    • The Seiberg-Witten and Gromov invariants
    • 28. -, The Seiberg-Witten and Gromov invariants, Math. Res. Lett. 2 (1995), 221-238.
    • (1995) Math. Res. Lett. , vol.2 , pp. 221-238
  • 29
    • 0001544883 scopus 로고
    • Some remarks on the Gauss-Bonnet integral
    • 29. J. Thorpe, Some Remarks on the Gauss-Bonnet Integral, J. Math. Mech. 18 (1969), 779-786.
    • (1969) J. Math. Mech. , vol.18 , pp. 779-786
    • Thorpe, J.1
  • 30
    • 0000368324 scopus 로고
    • Monopoles and four-manifolds
    • 30. E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), 809-822.
    • (1994) Math. Res. Lett. , vol.1 , pp. 809-822
    • Witten, E.1
  • 31
    • 84980156699 scopus 로고
    • On the Ricci-curvature of a complex Kahler manifold and the complex Monge-Ampère equations
    • 31. S.-T. Yau, On the Ricci-curvature of a complex Kahler manifold and the complex Monge-Ampère equations, Comment. Pure Appl. Math. 31 (1978), 339-411.
    • (1978) Comment. Pure Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.