On the Invariant Theory of Weingarten Surfaces in Euclidean Space

Details On the Invariant Theory of Weingarten Surfaces in Euclidean Space On the Invariant Theory of Weingarten Surfaces in Euclidean Space

2008-02-15

arxiv.org/abs/0802.2191v1

J. Phys. A: Math. Theor., 43 (2010) 405210-405236

Mathematics

Differential Geometry

16 pages

Scientific paper

10.1088/1751-8113/43/40/405210

We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingarten surface is determined up to a motion by its structural functions and the normal curvature function satisfying a geometric differential equation. We apply these results to the special Weingarten surfaces: minimal surfaces, surfaces of constant mean curvature and surfaces of constant Gauss curvature.

Affiliated with

Also associated with

No associations

Rating

On the Invariant Theory of Weingarten Surfaces in Euclidean Space 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 Invariant Theory of Weingarten Surfaces in Euclidean Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Invariant Theory of Weingarten Surfaces in Euclidean Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38499