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Three-manifolds with positive Ricci curvature
Open accessAbstract
Introduction 255 2. Notations and conventions 257 3. The evolution equation 259 4. Solution for a short time 260 5. Evolution equations with an integrability condition 262 6. Weakly parabolic linear systems 265 7. Evolution of the curvature 273 8. Curvature in dimension three 276 9. Preserving positive Ricci curvature .27910.Pinching the eigenvalues 283 11.The gradient of the scalar curvature 286 12. Interpolation inequalities for tensors 291 13.Higher derivatives of the curvature .29414.Long time existence 296 15.Controlling R^/R^ 299 16.Estimating the normalized equation 300 17. Exponential convergence 301
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Citations
Cited by
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Huisken, G. (1984) · Journal of Differential Geometry · doi:10.4310/jdg/1214438998 · Cited by 1,120
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Chow, B., & Knopf, D. (2004) · Mathematical Surveys and Monographs · doi:10.1090/surv/110 · Cited by 579
The Kähler-Ricci flow on surfaces of positive Kodaira dimension
Song, J., & Tian, G. (2007) · Inventiones mathematicae · doi:10.1007/s00222-007-0076-8 · Cited by 162
An automatic 3D expression recognition framework based on sparse representation of conformal images
Zeng, W., Li, H., Chen, L., Morvan, J.-M., & Gu, X. D. (2013) · 2013 10th IEEE International Conference and Workshops on Automatic Face and Gesture Recognition (FG) · doi:10.1109/fg.2013.6553749 · Cited by 48
The Einstein flow, the sigma-constant and the geometrization of 3-manifolds
Fischer, A. E., & Moncrief, V. (1999) · Classical and Quantum Gravity · doi:10.1088/0264-9381/16/11/102 · Cited by 22
Metadata
- Authors
- Hamilton, R. S.
- Venue
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Published
- 1982-01-01
- Volume
- 17
- Issue
- 2
- ISSN
- 0022-040X (ISSN-L)
- OpenAlex
- W1530161281
- Cited by
- 2,792
- References
- 0
- FWCI
- 15.05
- Type
- journal article
- Language
- en
- Open access
- bronze
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