Deformation of $C^0$ Riemannian metrics in the direction of their Ricci curvature
By Miles Simon. 2002
125 citations recorded by the source corpus.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/fe3a14f679de7d52fffae84e06c0d35bb1caf815
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
- Yanir A. Rubinstein
- Rafe Mazzeo
- N. Šešum
- Mihai Băileşteanu
- Artem Pulemotov
- Xiaodong Cao
- Robert J. Berman
- G. Tian
In Astronomy and Astrophysics
- Yanir A. Rubinstein
- Rafe Mazzeo
- Mihai Băileşteanu
- Artem Pulemotov
- N. Šešum
- Xiaodong Cao
- Chi Li
- Jian Song
In Geometry and Topology
- Yanir A. Rubinstein
- Rafe Mazzeo
- N. Šešum
- Mihai Băileşteanu
- Artem Pulemotov
- Xiaodong Cao
- Robert J. Berman
- G. Tian
Citations in the corpus
- Gradient estimates for the heat equation under the Ricci flow (2009, methodology): “The idea to consider the Ricci flow combined with the heat flow of harmonic maps was further exploited in [29, 30] for the purposes of regularizing non-smooth Riemannian metrics.”
- Ricci flow on surfaces with conic singularities (2013, background): “In addition, the flow starting at an initial singular surface is not uniquely defined: there are solutions which immediately smooth out the cone points [Simon 2002; Ramos 2011], and others which immediately become complete and send the cone points to infinity [Giesen and Topping 2010; 2011].”