Mean-value property on manifolds with minimal horospheres

Details Mean-value property on manifolds with minimal horospheres Mean-value property on manifolds with minimal horospheres

2007-10-24

arxiv.org/abs/0710.4494v1

Mathematics

Differential Geometry

A slightly edited version will appear in Journal of the Australian Mathematical Society

Scientific paper

Let (M,g) be a non-compact and complete Riemannian manifold with minimal
horospheres and infinite injectivity radius. We prove that bounded functions on
(M,g) satisfying the mean-value property are constant. We extend thus a result
of A. Ranjan and H. Shah who proved a similar result for bounded harmonic
functions on harmonic manifolds with minimal horospheres.

Affiliated with

Also associated with

No associations

Rating

Mean-value property on manifolds with minimal horospheres 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 Mean-value property on manifolds with minimal horospheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean-value property on manifolds with minimal horospheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-655382