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丘成桐數學論文<1971-1991>選集(英文版共5冊)(精)

  • 作者:編者:曹懷東//李駿//(美)孫理察|責編:戚亞
  • 出版社:清華大學
  • ISBN:9787302664727
  • 出版日期:2024/06/01
  • 裝幀:精裝
  • 頁數:2084
人民幣:RMB 749 元      售價:
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內容大鋼
    丘成桐是當代傑出的數學家之一,因其在微分幾何領域的工作而獲得了許多榮譽,其中括數學界榮譽——菲爾茲獎。丘成桐也因其在代數和凱勒幾何、廣義相對論及弦理論等方面的工作而聞名,他在這些研究領域的建立和發展過程中產生了巨大的影響。本書收錄了丘成桐自1971年1991年已發表的分數學論文——這一時期他在括幾何分析、凱勒幾何和廣義相對論在內的眾多學科中取得了突破性的成就。本書按照主題領域組織內容,括度量幾何與小子流形、度量幾何與調和函數、本征值與廣義相對論,以及凱勒幾何。書中還收錄了相關領域家的和反映書中所討論的思想發展過程的回顧。

作者介紹
編者:曹懷東//李駿//(美)孫理察|責編:戚亞

目錄
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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