Calabi-Yau metrics on compact Kahler manifolds with some divisors deleted

被引：1
|
作者：
Yu, Chengjie [1 ]
机构：
[1] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2008年 / 3卷 / 04期
关键词：
Kahler manifold; Kahler-Einstein metric; complete flat metric;
D O I：
10.1007/s11464-008-0035-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we provide a systematic method to construct examples of complete Ricci flat metrics on CP2, with three lines in the general position deleted by Hsieh [Proc. AMS, 1995, 123: 1873-1877] and generalize them to higher dimensions. In addition, we further show that the examples of Hsieh are indeed all flat.
引用
收藏
页码：589 / 598
页数：10
相关论文
共 50 条
  • [1] Calabi-Yau metrics on compact Kähler manifolds with some divisors deleted
    Chengjie Yu
    [J]. Frontiers of Mathematics in China, 2008, 3 : 589 - 598
  • [2] On the stability of compact pseudo-Kahler and neutral Calabi-Yau manifolds
    Latorre, Adela
    Ugarte, Luis
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 145 : 240 - 262
  • [3] Non-Kahler Calabi-Yau Manifolds
    Tseng, Li-Sheng
    Yau, Shing-Tung
    [J]. STRING-MATH 2011, 2012, 85 : 241 - +
  • [4] Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds
    Nam-Hoon Lee
    [J]. Journal of High Energy Physics, 2010
  • [5] Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds
    Lee, Nam-Hoon
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04):
  • [6] Kahler Forms for Families of Calabi-Yau Manifolds
    Braun, Matthias
    Choi, Young-Jun
    Schumacher, Georg
    [J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2020, 56 (01) : 1 - 13
  • [7] A family of compact complex and symplectic Calabi-Yau manifolds that are non-Kahler
    Qin, Lizhen
    Wang, Botong
    [J]. GEOMETRY & TOPOLOGY, 2018, 22 (04) : 2115 - 2144
  • [8] AUTOMORPHISMS AND THE KAHLER CONE OF CERTAIN CALABI-YAU MANIFOLDS
    GRASSI, A
    MORRISON, DR
    [J]. DUKE MATHEMATICAL JOURNAL, 1993, 71 (03) : 831 - 838
  • [9] Complete Calabi-Yau metrics from Kahler metrics in D=4
    Leston, Mauricio
    Santillan, Osvaldo P.
    [J]. PHYSICAL REVIEW D, 2010, 82 (08):
  • [10] On the collapsing of Calabi-Yau manifolds and Kahler-Ricci flows
    Li, Yang
    Tosatti, Valentino
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (800): : 155 - 192
12345