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Ricci flow


 

In differential geometry, the Ricci flow is a process which deforms the metric of a Riemannian manifold in a manner formally analogous to the diffusion of heat.

References

  • {{Web reference_author | Author=Bakas, I. | Title=The algebraic structure of geometric flows in two dimensions | Work=arXiv eprint server | URL=http://www.arxiv.org/abs/hep-th/0507284 | Date=July 28 | Year=2005}}
  • {{Book reference | Author=Chow, Bennet and Knopf, Dan | Title =The Ricci Flow: an introduction| Publisher=American Mathematical Society | Year=2004| ID=ISBN 0821835157}}.
  • {{Book reference | Author=Weeks, Jeffrey R. | Title=The Shape of Space: how to visualize surfaces and three-dimensional manifolds| Publisher=New York: Marcel Dekker | Year=1985 | ID=ISBN 0-824-77437-X}}. A superb popular book which aims to explain the background for the Thurston classification programme.
 

~ Table of Content ~

Introduction
Mathematical definition
Relation to Uniformization and Geometrization
Relation to diffusion
Recent developments
See also
References

 

 

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