We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Curvature loci of 3‐manifolds.
- Authors
Benedini Riul, Pedro; Oset Sinha, Raúl; Ruas, Maria Aparecida Soares
- Abstract
We refine the affine classification of real nets of quadrics in order to obtain generic curvature loci of regular 3‐manifolds in R6$\mathbb {R}^6$ and singular corank one 3‐manifolds in R5$\mathbb {R}^5$. For this, we characterize the type of the curvature locus by the number and type of solutions of a system of equations given by four ternary cubics (which is a determinantal variety in some cases). We also study how singularities of the curvature locus of a regular 3‐manifold can go to infinity when the manifold is projected orthogonally in a tangent direction.
- Subjects
CURVATURE; EQUATIONS; QUADRICS
- Publication
Mathematische Nachrichten, 2023, Vol 296, Issue 10, p4656
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.202200170