Kähler Surfaces of Positive Scalar Curvature

被引：0
作者：
Myong-Hee Sung
机构：
[1] University of Maryland,Mathematics Department
来源：
Annals of Global Analysis and Geometry | 1997年 / 15卷
关键词：
deformation of complex structures; Kähler metrics; positive scalar curvature; ruled surfaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct Kähler metrics of positive scalar curvature on almost all blown-up ruled surfaces of arbitrary genus. The metrics have an explicit form on ruled surfaces blown up at most twice successively from a minimal model. Our surfaces are generic in the sense that they make up a dense set in the deformations of a given ruled surface.
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页码：509 / 518
页数：9
相关论文
共 25 条
  • [1] Gromov M.(1980)Spin and scalar curvature in the presence of the fundamental group Ann. of Math. 111 209-230
  • [2] Lawson H. B.(1975)On the curvature of rational surfaces Proceedings of Symposia in Pure Mathematics 27 65-80
  • [3] Hitchin N.(1995)A new method of constructing scalar-flat Kähler surfaces Journal of Differential Geometry 41 449-477
  • [4] Kim J.(1954)On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties) Annals of Math. 2 28-48
  • [5] Pontecorvo M.(1963)On stability of compact submanifolds of complex manifolds Amer. J. Math. 85 79-94
  • [6] Kodaira K.(1958)On deformations of complex analytic structures I–II Ann. of Math. 67 328-466
  • [7] Kodaira K.(1960)On deformations of complex analytic structures III Ann. of Math. 71 43-76
  • [8] Kodaira K.(1962)On the locally complete families of complex structures Ann. of Math. 75 536-577
  • [9] Spencer D. C.(1991)Scalar-flat Kähler metrics on blown-up ruled surfaces J. reine angew. Math. 420 161-177
  • [10] Kodaira K.(1995)On the scalar curvature of complex surfaces Geometric and Functional Analysis 5 619-628
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