Relating diameter and mean curvature for Riemannian submanifolds

Details Relating diameter and mean curvature for Riemannian submanifolds Relating diameter and mean curvature for Riemannian submanifolds

2010-01-20

arxiv.org/abs/1001.3463v2

Mathematics

Differential Geometry

8 pages; typos corrected, references added, several explanations also added; to appear in in Proc. Amer. Math. Soc

Scientific paper

Given an $m$-dimensional closed connected Riemannian manifold $M$ smoothly
isometrically immersed in an $n$-dimensional Riemannian manifold $N$, we
estimate the diameter of $M$ in terms of its mean curvature field integral
under some geometric restrictions, and therefore generalize a recent work of
Topping in the Euclidean case (Comment. Math. Helv., 83 (2008), 539--546).

Affiliated with

Also associated with

No associations

Rating

Relating diameter and mean curvature for Riemannian submanifolds 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 Relating diameter and mean curvature for Riemannian submanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relating diameter and mean curvature for Riemannian submanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128203