- 丘成桐数学论文<1971-1991>选集(英文版共5册)(精)
- - 作者：编者:曹怀东//李骏//(美)孙理察|责编:戚亚
  - 出版社：清华大学
  - ISBN：9787302664727
  - 出版日期：2024/06/01
  - 页数：2084
- 售价：299.6

内容大纲
丘成桐是当代杰出的数学家之一，因其在微分几何领域的工作而获得了许多荣誉，其中括数学界荣誉——菲尔兹奖。丘成桐也因其在代数和凯勒几何、广义相对论及弦理论等方面的工作而闻名，他在这些研究领域的建立和发展过程中产生了巨大的影响。本书收录了丘成桐自1971年1991年已发表的分数学论文——这一时期他在括几何分析、凯勒几何和广义相对论在内的众多学科中取得了突破性的成就。本书按照主题领域组织内容，括度量几何与小子流形、度量几何与调和函数、本征值与广义相对论，以及凯勒几何。书中还收录了相关领域家的和反映书中所讨论的思想发展过程的回顾。
作者介绍
目录
1.Metric Geometry and minimal SubmanifoldS
  Foreword by Shing-Tung Yau
  Preface by the Editors
  Commentary by Richard Hamilton
  Commentary by William H. Meeks Ⅲ
  Commentary by Richard Schoen
  Commentary by Leon Simon
  Articles
    “On the fundamental group of compact manifolds of non-positive curvature”, Annals of Mathematics 93 (1971) 579–585
    (with H. Lawson), “Compact manifolds of nonpositive curvature”, J. Differential Geom. 7 (1972), 211–228
    “Some global theorems on non-complete surfaces”, Comment. Math. Helv. 48 (1973), 177–187.
    (with H. Lawson), “Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres”, Comment. Math. Helv. 49 (1974), 232–244
    “Submanifolds with constant mean curvature”, Amer. J. Math. 96 (1974), no. 2, 346-366
    “Submanifolds with constant mean curvature II”, Amer. J. Math. 97 (1975), no. 1, 76-100
    Contents of the Current Volume “Curvature preserving diffeomorphisms”, Annals of Mathematics (2) 100 (1974), 121–130
    “Non-existence of continuous convex functions on certain Riemannian manifolds”, Math. Ann. 207 (1974) 269–270
    (with S.-Y. Cheng), “Hypersurfaces with constant scalar curvature”, Math. Ann. 225 (1977), no. 3, 195–204
    (with R. Schoen and L. Simon), “Curvature estimates for minimal hypersurfaces”, Acta Math. 134 (1975), no. 3-4, 275–288
    (with S.-Y. Cheng), “Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces”, Annals of Mathematics 104 (1976), no. 3, 407–419
    “Remarks on the group of isometries of a Riemannian manifold”, Topology 16 (1977), no. 3, 239–247
    (with W. H. Meeks), “The equivariant Dehn’s lemma and loop theorem”, Comment. Math. Helv. 56 (1981) 225–239
    (with R. Schoen), “On the structure of manifolds with positive scalar curvature”, Manuscripta Math. 28 (1979), no. 1-3, 159–183
    (with W. H. Meeks), “The equivariant loop theorem for three-dimensional manifolds and a review of the existence theorems for minimal surfaces”, Pure Appl. Math. 112 (1984) 153–163
    (with W. H. Meeks), “Topology of three-dimensional manifolds and the embedding problems in minimal surface theory”, Annals of Mathematics 112 (1980) 441–484
    (with W. H. Meeks), “The classical Plateau problem and the topology of three- dimensional manifolds: The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn’s lemma”, Topology 21 (1982) 409-442
    (with W. H. Meeks and L. Simon), “Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature”, Annals of Mathematics 116 (1982), 621-659
    (with R. Schoen), “Complete three-dimensional manifolds with positive Ricci curvature and scalar curvature”, Annals of Mathematics Studies 102 (Seminar on Differential Geometry) 209–228, Princeton University Press, 1988
  ……
2.Metric Geometry and Harmonic Functions
3.Eigenvalues and General Relativity
4.Kahler Geometry Ⅰ
5.Kahler Geometry Ⅱ

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