Bonnesen-type inequalities for surfaces of constant curvature

Details Bonnesen-type inequalities for surfaces of constant curvature Bonnesen-type inequalities for surfaces of constant curvature

2007-02-28

arxiv.org/abs/math/0702897v1

Mathematics

Metric Geometry

Latex, 11 pages

Scientific paper

A Bonnesen-type inequality is a sharp isoperimetric inequality that includes an error estimate in terms of inscribed and circumscribed regions. A kinematic technique is used to prove a Bonnesen-type inequality for the Euclidean sphere (having constant positive Gauss curvature) and the hyperbolic plane (having constant negative Gauss curvature). These generalized inequalities each converge to the classical Bonnesen-type inequality for the Euclidean plane as the curvature approaches zero.

Affiliated with

Also associated with

No associations

Rating

Bonnesen-type inequalities for surfaces of constant curvature 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 Bonnesen-type inequalities for surfaces of constant curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bonnesen-type inequalities for surfaces of constant curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119272