Combinatorial p-th Ricci flows on surfaces

2021 ◽  
Vol 211 ◽  
pp. 112417
Author(s):  
Aijin Lin ◽  
Xiaoxiao Zhang
Keyword(s):  
Ricci Flows ◽  
Flows On Surfaces

scholarly journals Combinatorial Ricci Flows on Surfaces

2003 ◽  
Vol 63 (1) ◽  
pp. 97-129 ◽  
Author(s):  
Bennett Chow ◽  
Feng Luo
Keyword(s):  
Ricci Flows ◽  
Flows On Surfaces

scholarly journals RICCI FLOWS ON SURFACES RELATED TO THE EINSTEIN WEYL AND ABELIAN VORTEX EQUATIONS

2014 ◽  
Vol 56 (3) ◽  
pp. 569-599 ◽  
Author(s):  
DANIEL J. F. FOX
Keyword(s):  
Ricci Flow ◽  
Riemannian Metric ◽  
Killing Field ◽  
Conical Singularities ◽  
Vortex Equations ◽  
Gradient Ricci Solitons ◽  
Ricci Flows ◽  
Special Cases ◽  
Flows On Surfaces ◽  
Special Case

AbstractThere are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D. Calderbank) and a real version of a special case of the Abelian vortex equations, and it is shown that the property that a metric solve these equations is preserved by the Ricci flow. The equations are solved explicitly, and among the metrics obtained are all steady gradient Ricci solitons (e.g. the cigar soliton) and the sausage metric; there are found other examples of eternal, ancient, and immortal Ricci flows, as well as some Ricci flows with conical singularities.

Lyapunov Graphs and Flows on Surfaces

1993 ◽  
Vol 340 (2) ◽  
pp. 767 ◽  
Author(s):  
K. A. De Rezende ◽  
R. D. Franzosa
Keyword(s):  
Flows On Surfaces

scholarly journals Nonholonomic Ricci flows. II. Evolution equations and dynamics

2008 ◽  
Vol 49 (4) ◽  
pp. 043504 ◽  
Author(s):  
Sergiu I. Vacaru
Keyword(s):  
Evolution Equations ◽  
Ricci Flows

scholarly journals Perelman's entropy on ancient Ricci flows

2021 ◽  
pp. 109195
Author(s):  
Zilu Ma ◽  
Yongjia Zhang
Keyword(s):  
Ricci Flows

scholarly journals Ricci flows with unbounded curvature

2012 ◽  
Vol 273 (1-2) ◽  
pp. 449-460 ◽  
Author(s):  
Gregor Giesen ◽  
Peter M. Topping
Keyword(s):  
Ricci Flows

scholarly journals Almost-rigidity and the extinction time of positively curved Ricci flows

2016 ◽  
Vol 369 (1-2) ◽  
pp. 899-911 ◽  
Author(s):  
Richard H. Bamler ◽  
Davi Maximo
Keyword(s):  
Extinction Time ◽  
Ricci Flows ◽  
Positively Curved ◽  
Almost Rigidity

Expansive geodesic flows on surfaces

1993 ◽  
Vol 13 (1) ◽  
pp. 153-165 ◽  
Author(s):  
Miguel Paternain
Keyword(s):  
Geodesic Flow ◽  
Compact Surface ◽  
Conjugate Points ◽  
Riemannian Surface ◽  
Geodesic Flows ◽  
Flows On Surfaces

AbstractWe prove the following result: if M is a compact Riemannian surface whose geodesic flow is expansive, then M has no conjugate points. This result and the techniques of E. Ghys imply that all expansive geodesic flows of a compact surface are topologically equivalent.

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