Corpus ID: 5975451

Ricci Flow and the Poincare Conjecture

@inproceedings{Morgan2007RicciFA,
  title={Ricci Flow and the Poincare Conjecture},
  author={J. Morgan and G. Tian},
  year={2007}
}
  • J. Morgan, G. Tian
  • Published 2007
  • Mathematics
  • Background from Riemannian geometry and Ricci flow: Preliminaries from Riemannian geometry Manifolds of non-negative curvature Basics of Ricci flow The maximum principle Convergence results for Ricci flow Perelman's length function and its applications: A comparison geometry approach to the Ricci flow Complete Ricci flows of bounded curvature Non-collapsed results $\kappa$-non-collapsed ancient solutions Bounded curvature at bounded distance Geometric limits of generalized Ricci flows The… CONTINUE READING
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    References

    SHOWING 1-10 OF 104 REFERENCES
    Uniqueness of the Ricci flow on complete noncompact manifolds
    • 152
    • PDF
    Uniqueness of standard solutions in the work of Perelman
    • 12
    • PDF
    FINITENESS THEOREMS FOR RIEMANNIAN MANIFOLDS.
    • 335
    Two-dimensional geometric variational problems
    • 272
    Ricci flow with surgery on three-manifolds
    • 987
    • PDF
    The Structure of Manifolds with Positive Scalar Curvature
    • 9
    Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
    • 660
    • Highly Influential
    • PDF