On second variation of Perelman's Ricci shrinker entropy

Details On second variation of Perelman's Ricci shrinker entropy On second variation of Perelman's Ricci shrinker entropy

2010-08-04

arxiv.org/abs/1008.0842v5

Mathematics

Differential Geometry

13 pages; final version; to appear in Math. Ann

Scientific paper

In this paper we provide a detailed proof of the second variation formula, essentially due to Richard Hamilton, Tom Ilmanen and the first author, for Perelman's $\nu$-entropy. In particular, we correct an error in the stability operator stated in Theorem 6.3 of [2]. Moreover, we obtain a necessary condition for linearly stable shrinkers in terms of the least eigenvalue and its multiplicity of certain Lichnerowicz type operator associated to the second variation.

Affiliated with

Also associated with

No associations

Rating

On second variation of Perelman's Ricci shrinker entropy 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 On second variation of Perelman's Ricci shrinker entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On second variation of Perelman's Ricci shrinker entropy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83251