Skip to main content
Log in

Kähler–Ricci Flow With Small Initial Energy

  • Published:
Geometric and Functional Analysis Aims and scope Submit manuscript

Abstract.

In this paper, we prove that the Kähler–Ricci flow converges to a Kähler–Einstein metric when E 1 energy is small. We also prove that E 1 is bounded from below if and only if the K-energy is bounded from below in the canonical class.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haozhao Li.

Additional information

Received: September 2006, Revision: January 2007, Accepted: February 2007

The first named author is partially supported by a NSF grant, while the third author was partially supported by a NSF supplement grant.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, X., Li, H. & Wang, B. Kähler–Ricci Flow With Small Initial Energy. GAFA Geom. funct. anal. 18, 1525–1563 (2009). https://doi.org/10.1007/s00039-008-0690-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00039-008-0690-7

Keywords and phrases:

AMS Mathematics Subject Classification:

Navigation