The Calabi-Yau conjectures for embedded surfaces

Details The Calabi-Yau conjectures for embedded surfaces The Calabi-Yau conjectures for embedded surfaces

2004-04-09

arxiv.org/abs/math/0404197v2

Mathematics

Differential Geometry

To appear in the Annals of Mathematics. Two figures added and introduction expanded

Scientific paper

In this paper we will prove the Calabi-Yau conjectures for embedded surfaces. In fact, we will prove considerably more. The Calabi-Yau conjectures about surfaces date back to the 1960s. Much work has been done on them over the past four decades. In particular, examples of Jorge-Xavier from 1980 and Nadirashvili from 1996 showed that the immersed versions were false; we will show here that for embedded surfaces, i.e., injective immersions, they are in fact true.

Affiliated with

Also associated with

No associations

Rating

The Calabi-Yau conjectures for embedded 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 The Calabi-Yau conjectures for embedded surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Calabi-Yau conjectures for embedded surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-548906