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On a Loewner Umbilic-Index Conjecture for Surfaces Immersed in ℝ4
- Source :
- Journal of Dynamical and Control Systems; January 1998, Vol. 4 Issue: 1 p127-136, 10p
- Publication Year :
- 1998
-
Abstract
- Loewner's umbilic-index conjecture cannot be extended to surfaces immersed in ℝ4. More precisely, given n∈ ℤ, there exists an analytic surface immersed in ℝ4having an isolated umbilic point of index n/2.
Details
- Language :
- English
- ISSN :
- 10792724 and 15738698
- Volume :
- 4
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Journal of Dynamical and Control Systems
- Publication Type :
- Periodical
- Accession number :
- ejs37806105
- Full Text :
- https://doi.org/10.1023/A:1022877117769