Envelopes and osculates of Willmore surfaces

Details Envelopes and osculates of Willmore surfaces Envelopes and osculates of Willmore surfaces

2003-06-09

arxiv.org/abs/math/0306150v2

J. London Math. Soc (2) 75 (2007), p. 199-212.

Mathematics

Differential Geometry

12 pages, 2 figures; v2: improved definition of Frenet curves, minor changes in presentation

Scientific paper

10.1112/jlms/jdl003

We view conformal surfaces in the 4--sphere as quaternionic holomorphic curves in quaternionic projective space. By constructing enveloping and osculating curves, we obtain new holomorphic curves in quaternionic projective space and thus new conformal surfaces. Applying these constructions to Willmore surfaces, we show that the osculating and enveloping curves of Willmore spheres remain Willmore.

Affiliated with

Also associated with

No associations

Rating

Envelopes and osculates of Willmore surfaces 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 Envelopes and osculates of Willmore surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Envelopes and osculates of Willmore surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-367952