Four-manifolds with positive isotropic curvature
Four-manifolds with positive isotropic curvature
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DOI:
10.4310/cag.1997.v5.n1.a1
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发表时间:
1997
影响因子:
0.7
通讯作者:
R. Hamilton
中科院分区:
文献类型:
--
作者:
R. Hamilton
1. Positive Isotropic Curvature 2 (1) The Result 2 (2) The Algebra of Isotropic Curvature 4 2. Curvature Pinching 6 (1) Pinching Estimates which are Preserved 6 (2) Pinching Estimates which Improve 13 (3) Necklike Curvature Pinching 21 3. The Geometry of Necks 27 (1) Harmonic Parametrizations by Spheres 27 (2) Geometric Necks 30 (3) Curvature Necks 35 (4) The Fundamental Group 41 (5) Finding Necks 44 4. Surgery 47 (1) How to do Surgery 47 (2) Curvature Changes under Surgery .49 (3) Pinching Estimates under Surgery 57 5. Recovering the Manifold from Surgery , 60 Research supported by NSF grant # DMS92-04336