Book Titles Collected Papers on Ricci Flow



Hardcover
     Collected Papers on Ricci Flow
ISBN: 1-57146-110-8 / 978-1-57146-110-0
Year Published: 2003
Pages: 545 pages
Binding: Hardcover
Price: $64.00

Description:

The Ricci flow is currently a hot topic at the forefront of mathematics research. The recent developments of Grisha Perelman on Richard Hamilton's program for Ricci flow are exciting. The collection is intended to make readily available, in one book, to a wider audience the work of Hamilton and others on Ricci flow.

In the past two decades the Ricci flow, and in particular Richard Hamilton's work in it, has received attention as both having a profound influence on geometric evolution equations and as a possible approach to studying Thurston's Geometrization Conjecture.

This selection of papers on the Riemannian Ricci flow is intended for a variety of purposes. The graduate student or researcher unfamiliar with the Ricci flow may use it as an introduction to the Ricci flow quickly leading to current research topics and open problems. Geometers already familiar with the Ricci flow may use it as a handy reference which contains almost all of Richard Hamilton's papers on the subject to date.

Contents:

  1. The formation of singularities in the Ricci flow, R. Hamilton
  2. Three-manifolds with positive Ricci curvature, R. Hamilton
  3. Deforming metrics in the direction of their Ricci tensors, D. DeTurck
  4. Ricci deformation of the metric on a Riemannian manifold, G. Huisken
  5. Four-manifolds with positive curvature operator, R. Hamilton
  6. The Ricci flow on surfaces, R. Hamilton
  7. The Ricci flow on the 2-sphere, B. Chow
  8. On the entropy estimate for the Ricci flow on compact 2-orbifolds, B. Chow
  9. An isoperimetric estimate for the Ricci flow on surfaces, R. Hamilton
  10. The Harnack estimate for the Ricci flow, R. Hamilton
  11. Eternal solutions to the Ricci flow, R. Hamilton
  12. A geometric interpretation of Hamilton’s Harnack inequality for the Ricci flow, B. Chow and S.C. Chu
  13. A compactness property for solutions of the Ricci flow, R. Hamilton
  14. Non-singular solutions of the Ricci flow on three-manifolds, R. Hamilton
  15. Four-manifolds with positive isotrophic curvature, R. Hamilton
  16. The Harnack estimate for the Ricci flow on a surface--Revisited, R. Hamilton and S.T. Yau
  17. On the parabolic kernel of the Schrodinger operator, P. Li and S.T. Yau
  18. Existence of incompressible minimal surfaces and the topology of threedimensional manifolds with non-negative scalar curvature, R. Schoen and S.T. Yau
  19. Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature, W. Meeks, L. Simon and S.T. Yau
  20. Complete Riemannian manifolds with pointwise pinched curvature, B.L. Chen and X. P Zhu
  21. Three-Orbifolds with positive Ricci curvature, R. Hamilton
  22. The Ricci flow on complete noncompact Kahler Manifolds, X.P. Zhu

Editors:

H.-D. Cao, B. Chow, S.C. Chu and S.-T. Yau

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