메뉴 건너뛰기




Volumn 486, Issue , 1997, Pages 69-95

Scalar-flat Kähler surfaces of all genera

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031521589     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (30)
  • 1
    • 0000018889 scopus 로고
    • Self-duality in four dimensional Riemannian geometry
    • M. Atiyah, N. Hitchin and I. Singer, Self-Duality in Four Dimensional Riemannian Geometry, Proc. R. Soc. Lond. A 362 (1978), 425-461.
    • (1978) Proc. R. Soc. Lond. A , vol.362 , pp. 425-461
    • Atiyah, M.1    Hitchin, N.2    Singer, I.3
  • 2
    • 0000889568 scopus 로고
    • Equations du type Monge-Ampère sur les variétés Kählériennes compactes
    • T. Aubin, Equations du Type Monge-Ampère sur les Variétés Kählériennes Compactes, C. R. Acad. Sci. Paris 283 A (1976), 119-121.
    • (1976) C. R. Acad. Sci. Paris , vol.283 A , pp. 119-121
    • Aubin, T.1
  • 4
    • 0000582828 scopus 로고
    • Conformal duality and compact complex surfaces
    • C. Boyer, Conformal Duality and Compact Complex Surfaces, Math. Ann. 274 (1986), 517-526.
    • (1986) Math. Ann. , vol.274 , pp. 517-526
    • Boyer, C.1
  • 5
    • 0000870461 scopus 로고
    • The space of Kähler metrics
    • E. Calabi, The Space of Kähler Metrics, Proc. ICM Amsterdam 2 (1954), 206-207.
    • (1954) Proc. ICM Amsterdam , vol.2 , pp. 206-207
    • Calabi, E.1
  • 6
    • 0000530266 scopus 로고
    • Connected sums of self-dual manifolds and deformations of singular spaces
    • S.K. Donaldson and R.D. Friedman, Connected Sums of Self-Dual Manifolds and Deformations of Singular Spaces, Nonlinearity 2 (1989), 197-239.
    • (1989) Nonlinearity , vol.2 , pp. 197-239
    • Donaldson, S.K.1    Friedman, R.D.2
  • 7
    • 0002633804 scopus 로고
    • Global smoothings of varieties with normal crossings
    • R.D. Friedman, Global Smoothings of Varieties with Normal Crossings, Ann. Math. 118 (1983), 75-114.
    • (1983) Ann. Math. , vol.118 , pp. 75-114
    • Friedman, R.D.1
  • 8
    • 0003355066 scopus 로고
    • Surfaces kählériennes dont la courbure vérifie certaines conditions de positivité
    • Séminaire A. Besse, 1978/1979 (Bérard-Bergery, Berger, and Houzel, eds.), CEDIC/Fernand Nathan
    • P. Gauduchon, Surfaces Kählériennes dont la Courbure Vérifie Certaines Conditions de Positivité, in: Géometrie Riemannienne en Dimension 4, Séminaire A. Besse, 1978/1979 (Bérard-Bergery, Berger, and Houzel, eds.), CEDIC/Fernand Nathan, 1981.
    • (1981) Géometrie Riemannienne en Dimension , vol.4
    • Gauduchon, P.1
  • 11
    • 84972512682 scopus 로고
    • A new method of constructing scalar-flat Kähler metrics
    • J. Kim and M. Pontecorvo, A New Method of Constructing Scalar-Flat Kähler Metrics, J. Diff. Geom. 41 (1995), 449-477.
    • (1995) J. Diff. Geom. , vol.41 , pp. 449-477
    • Kim, J.1    Pontecorvo, M.2
  • 13
    • 0001577486 scopus 로고
    • Scalar-flat Kähler metrics on blown-up ruled surfaces
    • C.R. LeBrun, 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
    • LeBrun, C.R.1
  • 14
    • 0011514021 scopus 로고
    • Self-dual manifolds and hyperbolic geometry
    • T. Mabuchi and S. Mukai, eds., Marcel Dekker
    • C.R. LeBrun, Self-Dual Manifolds and Hyperbolic Geometry, in: Einstein Manifolds and Yang-Mills Connections (T. Mabuchi and S. Mukai, eds.), Marcel Dekker (1993), 99-131.
    • (1993) Einstein Manifolds and Yang-Mills Connections , pp. 99-131
    • LeBrun, C.R.1
  • 15
    • 0010824896 scopus 로고
    • On Kähler surfaces of constants positive scalar curvature
    • C.R. LeBrun and S.R. Simanca, On Kähler Surfaces of Constants Positive Scalar Curvature, J. Geom. An. 5 (1995), 619-628.
    • (1995) J. Geom. An. , vol.5 , pp. 619-628
    • LeBrun, C.R.1    Simanca, S.R.2
  • 16
    • 0000313028 scopus 로고
    • Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
    • C.R. LeBrun and M.A. Singer, Existence and Deformation Theory for Scalar-Flat Kähler Metrics on Compact Complex Surfaces, Inv. Math. 112 (1993), 273-313.
    • (1993) Inv. Math. , vol.112 , pp. 273-313
    • LeBrun, C.R.1    Singer, M.A.2
  • 17
    • 0000404473 scopus 로고
    • A kummer-type construction of self-dual 4-manifolds
    • C.R. LeBrun and M.A. Singer, A Kummer-type Construction of Self-Dual 4-Manifolds, Math. Ann. 300 (1994), 165-180.
    • (1994) Math. Ann. , vol.300 , pp. 165-180
    • LeBrun, C.R.1    Singer, M.A.2
  • 18
    • 0001016919 scopus 로고
    • Sur les transformations analytiques des variétés kählériennes
    • A. Lichnerowicz, Sur les Transformations Analytiques des Variétés Kählériennes, C. R. Acad. Sci. Paris 244 (1957), 3011-3014.
    • (1957) C. R. Acad. Sci. Paris , vol.244 , pp. 3011-3014
    • Lichnerowicz, A.1
  • 19
    • 0001324092 scopus 로고
    • Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
    • A. Nadel, Multiplier Ideal Sheaves and Existence of Kähler-Einstein Metrics of Positive Scalar Curvature, Proc. Natl. Acad. Sci. USA 86 (1989), 7299-7300.
    • (1989) Proc. Natl. Acad. Sci. USA , vol.86 , pp. 7299-7300
    • Nadel, A.1
  • 20
    • 0001342082 scopus 로고
    • Non-linear gravitons and curbed twistor theory
    • R. Penrose, Non-linear Gravitons and Curbed Twistor Theory, Gen. Rel. Grav. 7 (1976), 31-52.
    • (1976) Gen. Rel. Grav. , vol.7 , pp. 31-52
    • Penrose, R.1
  • 21
    • 0001263160 scopus 로고
    • On twistor spaces of anti-self-dual Hermitian surfaces
    • M. Pontecorvo, On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces, Trans. Am. Math. Soc. 331 (1992), 653-661.
    • (1992) Trans. Am. Math. Soc. , vol.331 , pp. 653-661
    • Pontecorvo, M.1
  • 22
    • 0000350258 scopus 로고
    • Deformations of maps
    • Z. Ran, Deformations of Maps, Lect. Notes Math. 1389 (1989), 246-253.
    • (1989) Lect. Notes Math. , vol.1389 , pp. 246-253
    • Ran, Z.1
  • 23
    • 0010901486 scopus 로고
    • Stability of certain holomorphic maps
    • Z. Ran, Stability of Certain Holomorphic Maps, J. Diff. Geom. 34 (1991), 37-47.
    • (1991) J. Diff. Geom. , vol.34 , pp. 37-47
    • Ran, Z.1
  • 24
    • 84972513491 scopus 로고
    • The Gauss-Bonnet theorem for V-manifolds
    • I. Satake, The Gauss-Bonnet Theorem for V-manifolds, J. Math. Soc. Japan 9 (1957), 464-476.
    • (1957) J. Math. Soc. Japan , vol.9 , pp. 464-476
    • Satake, I.1
  • 25
    • 0000858517 scopus 로고
    • The existence of Kähler-Einstein metrics on manifolds with positive anti-canonical line bundle and suitable finite symmetry group
    • Y.T. Siu, The Existence of Kähler-Einstein Metrics on Manifolds with Positive Anti-Canonical Line Bundle and Suitable Finite Symmetry Group, Ann. Math. 127 (1988), 585-627.
    • (1988) Ann. Math. , vol.127 , pp. 585-627
    • Siu, Y.T.1
  • 26
    • 84972541774 scopus 로고
    • The existence of anti-self-dual metrics
    • C.H. Taubes, The Existence of Anti-Self-Dual Metrics, J. Diff. Geom. 36 (1992), 163-253.
    • (1992) J. Diff. Geom. , vol.36 , pp. 163-253
    • Taubes, C.H.1
  • 27
    • 0001984784 scopus 로고
    • On Calabi's conjectur for complex surfaces with positive first chern class
    • G. Tian, On Calabi's Conjectur for Complex Surfaces with Positive First Chern Class, Inv. Math. 101 (1990), 101-172.
    • (1990) Inv. Math. , vol.101 , pp. 101-172
    • Tian, G.1
  • 29
    • 0001562519 scopus 로고
    • On the curvature of compact Hermitian manifolds
    • S.T. Yau, On the Curvature of Compact Hermitian Manifolds, Inv. Math. 25 (1974), 213-239.
    • (1974) Inv. Math. , vol.25 , pp. 213-239
    • Yau, S.T.1
  • 30
    • 84980156699 scopus 로고
    • On the Ricci-Curvature of a complex Kähler manifold and the complex Monge-Ampère equations
    • S.T. Yau, On the Ricci-Curvature of a Complex Kähler Manifold and the Complex Monge-Ampère Equations, Comm. Pure Appl. Math. 31 (1978), 339-411.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.