Ricci Flow on Surfaces with Conical Singularities

By Hao Yin. 2009

56 citations recorded by the source corpus.

This paper studies the normalized Ricci flow on surfaces with conical singularities. It’s proved that the normalized Ricci flow has a solution for a short time for initial metrics with conical singularities. Moreover, the solution makes good geometric sense. For some simple surfaces of this kind, for example, the tear drop and the football, it’s shown that they admit a Ricci soliton metric.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7d226b69e6a6df1de02af080b7dd0ab4bb52a970

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

1. Yanir A. Rubinstein
2. Rafe Mazzeo
3. N. Šešum
4. Robert J. Berman
5. G. Tian
6. Chi Li
7. Jian Song
8. Tam'as Darvas

In Astronomy and Astrophysics

1. Yanir A. Rubinstein
2. Rafe Mazzeo
3. N. Šešum
4. Chi Li
5. Jian Song
6. G. Tian
7. Jacob Sturm
8. Duong H. Phong

In Geometry and Topology

1. Yanir A. Rubinstein
2. Rafe Mazzeo
3. N. Šešum
4. Robert J. Berman
5. G. Tian
6. Chi Li
7. Jian Song
8. Tam'as Darvas

Citations in the corpus

• Smooth and singular Kahler-Einstein metrics (2014, methodology): “We refer to [177] for background and an alternative approach via the Ricci flow (see also [268] for the nonpositive cases).”
• Ricci flow on surfaces with conic singularities (2013, background): “This generalizes [Yin 2013], where only the negative case is handled.”