Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Differential Geometry

arXiv:0710.5204 (math)
[Submitted on 27 Oct 2007 (v1), last revised 12 Jan 2009 (this version, v2)]

Title:Kähler Ricci flow on Fano surfaces (I)

Authors:Xiuxiong Chen, Bing Wang
View PDF
Abstract: We show the properties of the blowup limits of \KRf solutions on Fano surfaces if Riemannian curvature is unbounded. As an application, on every toric Fano surface, we prove that \KRf converges to a Kähler Ricci soliton metric if the initial metric has toric symmetry. Therefore we give a new Ricci flow proof of existence of Kähler Ricci soliton metrics on toric surfaces.
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
Cite as: arXiv:0710.5204 [math.DG]
  (or arXiv:0710.5204v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0710.5204

Submission history

From: Bing Wang [view email]
[v1] Sat, 27 Oct 2007 17:03:18 UTC (11 KB)
[v2] Mon, 12 Jan 2009 03:38:09 UTC (14 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.DG
< prev   |   next >
new | recent | 2007-10
Change to browse by:
math
math.AG

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)