Some new developments of realization of surfaces into $R^3$

Details Some new developments of realization of surfaces into $R^3$ Some new developments of realization of surfaces into $R^3$

2003-04-24

arxiv.org/abs/math/0304391v1

Proceedings of the ICM, Beijing 2002, vol. 3, 155--166

Mathematics

Differential Geometry

Scientific paper

This paper intends to give a brief survey of the developments on realization of surfaces into $ R^3$ in the last decade. As far as the local isometric embedding is concerned, some results related to the Schlaffli-Yau conjecture are reviewed. As for the realization of surfaces in the large, some developments on Weyl problem for positive curvature and an existence result for realization of complete negatively curved surfaces into $ R^3$, closely related to Hilbert-Efimov theorem, are mentioned. Besides, a few results for two kind of boundary value problems for realization of positive disks into $R^3$ are introduced.

Affiliated with

Also associated with

No associations

Rating

Some new developments of realization of surfaces into $R^3$ 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 Some new developments of realization of surfaces into $R^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some new developments of realization of surfaces into $R^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699041