Generalized Ricci flow I: Local existence and uniqueness

Details Generalized Ricci flow I: Local existence and uniqueness Generalized Ricci flow I: Local existence and uniqueness

2011-07-17

arxiv.org/abs/1107.3270v1

Topology and Physics, Nankai Tracts in Mathematics, Volume 12, 2007, Series Editors: Yiming Long and Weiping Zhang

Mathematics

Differential Geometry

The paper consists of 20 pages of text. The paper was completed about on May, 2007 and dilivered at the Proceedings of Nankai

Scientific paper

In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that the related system of partial differential equations are strictly and uniformly parabolic. Based on this, we show that the generalized Ricci flow defined on a $n$-dimensional compact Riemannian manifold admits a unique short-time smooth solution. Moreover, we also derive the evolution equations for the curvatures, which play an important role in our future study.

Affiliated with

Also associated with

No associations

Rating

Generalized Ricci flow I: Local existence and uniqueness 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 Generalized Ricci flow I: Local existence and uniqueness, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Ricci flow I: Local existence and uniqueness will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-478568