Dimensional reduction and the long-time behavior of Ricci flow
By J. Lott. 2007
72 citations recorded by the source corpus.
If g.t/ is a three-dimensional Ricci flow solution, with sectional curvatures that are O.t / and diameter that is O.t/, then the pullback Ricci flow solution on the universal cover approaches a homogeneous expanding soliton. Mathematics Subject Classification (2010). 53C44, 57M50.
Subfields: Applied Mathematics, Geometry and Topology, Radiology, Nuclear Medicine and Imaging
View Paper: https://www.semanticscholar.org/paper/0ffdbbf4bc1a33f45785e607ed3f41ad6c844d13
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Valentino Tosatti
- B. Weinkove
- Xiaokui Yang
- G'abor Sz'ekelyhidi
- Michael Jablonski
- Duong H. Phong
- Dat T. To
- M. Gill
In Geometry and Topology
- Valentino Tosatti
- B. Weinkove
- Xiaokui Yang
- G'abor Sz'ekelyhidi
- Michael Jablonski
- Duong H. Phong
- Dat T. To
- M. Gill
In Radiology, Nuclear Medicine and Imaging
Citations in the corpus
- Homogeneous Ricci Solitons are Algebraic (2013, background): “Homogeneous Ricci solitons arise naturally as limits under the Ricci flow [15, 14] and, independently, hold a distinguished place apart from other homogeneous metrics.”
- The Chern–Ricci flow on complex surfaces (2012, result): “On the other hand, it is also interesting to compare this to results of Lott for the Ricci flow in real dimension 3 [35, 36], where the collapsed Gromov-Hausdorff limits at infinity of the normalized Ricci flow on geometric 3-manifolds (in the sense of Thurston) are determined [36, Theorem 1.”