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Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations | | Ioannis Bakas
; Shengli Kong
; Lei Ni
; | | Date: |
2 Jun 2009 | | Abstract: | In this paper we present ancient solutions to Ricci flow on spheres and
complex projective spaces which generalize Fateev’s examples on three spheres.
We also study in detail the geometric and asymptotic properties of Fateev’s
three dimensional examples. Our higher dimensional examples on the total space
of the generalized Hopf fibrations, as well as Fateev’s three dimensional
examples on spheres, supply counter-examples to some folklore conjectures on
ancient solutions of Ricci flow on compact manifolds. | | Source: | arXiv, 0906.0589 | | Services: | Forum | Review | PDF | Favorites | |
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