Self-conjugate vectors of immersed 3-manifolds in R6
Document Type
Article
Publication Date
2-1-2012
Abstract
This paper generalizes the notion of asymptotic vectors, parabolic curves, and inflection points on surfaces in R4 to n-manifolds in R2n. Because the dimension and codimension are the same in both cases, most of the interesting properties of these objects still exist when we move to the higher dimension. In particular, we study in detail the case of 3-manifolds immersed in R6. We classify the possible generic algebraic structures of the asymptotic vectors at a parabolic point or an inflection point, and we classify the generic topological structures of the parabolic surface. © 2011 Elsevier B.V.
Publication Title
Topology and its Applications
Volume
159
Issue
2
First Page
450
Last Page
456
Digital Object Identifier (DOI)
10.1016/j.topol.2011.09.019
ISSN
01668641
Citation Information
Dreibelbis, D. (2012) Self-conjugate vectors of immersed 3-manifolds in R6. Topology and its Applications, 159 (2), 450-456. https://doi.org/10.1016/j.topol.2011.09.019.