Metrics on complex manifolds

被引:0
|
作者
YAU Shing-Tung [1 ]
机构
[1] Department of Mathematics, Harvard University, Cambridge
关键词
intrinsic metrics; generalized Bergman metrics; Weil-Petersson metric; Strominger system;
D O I
暂无
中图分类号
O174.5 [复分析、复变函数];
学科分类号
070104 ;
摘要
In this note we discuss various canonical metrics on complex manifolds. A generalization of the Bergman metric is proposed and the relations of metrics on moduli spaces are commented. At last, we review some existence theorems of solutions to the Strominger system.
引用
收藏
页码:565 / 572
页数:8
相关论文
共 50 条
  • [21] THE SPACE OF FINITE-ENERGY METRICS OVER A DEGENERATION OF COMPLEX MANIFOLDS
    Reboulet, Remi
    JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2023, 10 : 659 - 701
  • [22] HARMONIC COMPLEX STRUCTURES AND SPECIAL HERMITIAN METRICS ON PRODUCTS OF SASAKIAN MANIFOLDS
    Andrada, Adrián
    Tolcachier, Alejandro
    arXiv, 2023,
  • [23] AEPPLI COHOMOLOGY CLASSES ASSOCIATED WITH GAUDUCHON METRICS ON COMPACT COMPLEX MANIFOLDS
    Popovici, Dan
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2015, 143 (04): : 763 - 800
  • [24] Calabi-Yau metrics on canonical bundles of complex flag manifolds
    Correa, Eder M.
    Grama, Lino
    JOURNAL OF ALGEBRA, 2019, 527 : 109 - 135
  • [25] NONHOMOGENEOUS KAHLER-EINSTEIN METRICS ON COMPACT COMPLEX-MANIFOLDS
    KOISO, N
    SAKANE, Y
    LECTURE NOTES IN MATHEMATICS, 1986, 1201 : 165 - 179
  • [26] Harmonic Complex Structures and Special Hermitian Metrics on Products of Sasakian Manifolds
    Andrada, Adrian
    Tolcachier, Alejandro
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (06)
  • [27] Locally Conformal Hermitian Metrics on Complex Non-Kahler Manifolds
    Angella, Daniele
    Ugarte, Luis
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 2105 - 2145
  • [28] Teichmuller space of negatively curved metrics on complex hyperbolic manifolds is not contractible
    Farrell, F. Thomas
    Sorcar, Gangotryi
    SCIENCE CHINA-MATHEMATICS, 2017, 60 (04) : 569 - 580
  • [29] Nonpositively Curved Almost Hermitian Metrics on Product of Compact Almost Complex Manifolds
    Yu, Chengjie
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (01) : 61 - 70
  • [30] Levi-Civita Ricci-flat metrics on compact complex manifolds
    He, Jie
    Liu, Kefeng
    Yang, Xiaokui
    JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) : 646 - 666