A fundamental differential system of Riemannian geometry

Details A fundamental differential system of Riemannian geometry A fundamental differential system of Riemannian geometry

2011-12-14

arxiv.org/abs/1112.3213v2

Mathematics

Differential Geometry

Complete revision, but no different mathematical content from first version

Scientific paper

We study a fundamental exterior differential system associated to any given oriented Riemannian manifold M of any dimension. The system was first considered in hypersurface theory of flat Euclidean space, but here it is defined invariantly on the tangent sphere bundle of the given Riemannian manifold. We deduce the structure equations and their main properties. In particular we write a new equivalent equation for the condition of M being an Einstein manifold.

Affiliated with

Also associated with

No associations

Rating

A fundamental differential system of Riemannian geometry 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 A fundamental differential system of Riemannian geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A fundamental differential system of Riemannian geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227489