On the equivariant implicit function theorem with low regularity and applications to geometric variational problems

Details On the equivariant implicit function theorem with low regularity and applications to geometric variational problems On the equivariant implicit function theorem with low regularity and applications to geometric variational problems

2010-09-28

arxiv.org/abs/1009.5721v1

Mathematics

Differential Geometry

LaTeX2e, 28 pages

Scientific paper

We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variational problems, we will consider group actions that are not necessarily differentiable everywhere, but only on some dense subset. Applications are discussed in the context of constant mean curvature hypersurfaces of Riemannian manifolds, closed (pseudo-)Riemannian geodesics and harmonic maps.

Affiliated with

Also associated with

No associations

Rating

On the equivariant implicit function theorem with low regularity and applications to geometric variational problems 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 the equivariant implicit function theorem with low regularity and applications to geometric variational problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the equivariant implicit function theorem with low regularity and applications to geometric variational problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522133