On the Area Functional of the Second Fundamental Form of Ovaloids

Details On the Area Functional of the Second Fundamental Form of Ovaloids On the Area Functional of the Second Fundamental Form of Ovaloids

2007-09-11

arxiv.org/abs/0709.1644v3

Mathematical Proceedings of the Royal Irish Academy 109A (2009) 2:187-200

Mathematics

Differential Geometry

13 pages. (v2: As compared to a previous version of this article, which was entitled "The Mean Curvature of the Second Fundame

Scientific paper

The expression for the variation of the area functional of the second fundamental form of a hypersurface in a Euclidean space involves the so-called "mean curvature of the second fundamental form". Several new characteristic properties of (hyper)spheres, in which the mean curvature of the second fundamental form occurs, are given. In particular, it is shown that the spheres are the only ovaloids which are a critical point of the area functional of the second fundamental form under various constraints.

Affiliated with

Also associated with

No associations

Rating

On the Area Functional of the Second Fundamental Form of Ovaloids 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 Area Functional of the Second Fundamental Form of Ovaloids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Area Functional of the Second Fundamental Form of Ovaloids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-392665