丘成桐數學論文 (1971-1991)選集 (英文) (全5冊) 9787302664727 曹懷東 李駿

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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