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RETRACTED ARTICLE: Surfaces with common asymptotic curve in the Euclidean 3-spaceE3

✍ Scribed by Rashad A. Abdel-Baky, Reem A. Al-Ghefari

Book ID
120742765
Publisher
Springer
Year
2013
Tongue
English
Weight
577 KB
Volume
72
Category
Article
ISSN
0268-3768

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πŸ“œ SIMILAR VOLUMES

The asymptotic blow-up of a surface in E
The asymptotic blow-up of a surface in Euclidean 3-space
✍ Marek Kossowski πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 544 KB

Given a smoothly immersed surface in Euclidean (or affine) 3-space, the asymptotic directions define a subset in the Grassmann bundle of unoriented one-dimensional subspaces over the surface. This links the Euler characteristic of the region where the Gauss curvature is nonpositive with the index of

On the spinor representation of surfaces
On the spinor representation of surfaces in Euclidean 3-space
✍ Thomas Friedrich πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 817 KB

The aim of the present paper is to clarify the relationship between immersions of surfaces and solutions of the Dirac equation. The main idea leading to the description of a surface M2 by a spinor field is the observation that the restriction to M2 of any parallel spinor $ on Iw3 is a non-trivial sp