Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds

Details Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds

2009-10-20

arxiv.org/abs/0910.3723v2

Mathematics

Differential Geometry

Final version, to appear in Asian J. Math

Scientific paper

We construct gradient K\"ahler-Ricci solitons on Ricci-flat K\"ahler cone
manifolds and on line bundles over toric Fano manifolds. Certain shrinking and
expanding solitons are pasted together to form eternal solutions of the Ricci
flow. The method we employ is the Calabi ansatz over Sasaki-Einstein manifolds,
and the results generalize constructions of Cao and Feldman-Ilmanen-Knopf.

Affiliated with

Also associated with

No associations

Rating

Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructing Kähler-Ricci solitons from Sasaki-Einstein manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143392