Mathematics – Differential Geometry
Scientific paper
2007-09-27
SIGMA 3:118,2007
Mathematics
Differential Geometry
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in
Scientific paper
10.3842/SIGMA.2007.118
The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k=1$. The Gauss-Bonnet curvatures are used in theoretical physics to describe gravity in higher dimensional space times where they are known as the Lagrangian of Lovelock gravity, Gauss-Bonnet Gravity and Lanczos gravity. In this paper we present various aspects of these curvature invariants and review their variational properties. In particular, we discuss natural generalizations of the Yamabe problem, Einstein metrics and minimal submanifolds.
No associations
LandOfFree
On Gauss-Bonnet Curvatures 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 Gauss-Bonnet Curvatures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Gauss-Bonnet Curvatures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-481676