Email this article Lines of curvature on quadric hypersurfaces of ℝ4
- Authors: Sotomayor J.1, Garcia R.1
-
Affiliations:
- Instituto de Matemática e Estatística
- Issue: Vol 37, No 3 (2016)
- Pages: 288-306
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/197731
- DOI: https://doi.org/10.1134/S1995080216030203
- ID: 197731
Cite item
Open Access
Access granted
Subscription Access
Abstract
We describe the geometric structures of the lines of principal curvature and the partially umbilic singularities of the three-dimensional non compact generic quadric hypersurfaces of R4. This includes the ellipsoidal hyperboloids of one and two sheets and the toroidal hyperboloids. The present study complements the analysis of the compact ellipsoidal hypersurfaces carried out in [9].
About the authors
J. Sotomayor
Instituto de Matemática e Estatística
Author for correspondence.
Email: sotp@ime.usp.br
Brazil, 1010 Cidade Universitária, São Paulo S. P, CEP, 05508-090
R. Garcia
Instituto de Matemática e Estatística
Author for correspondence.
Email: ragarcia@ufg.br
Brazil, Caixa Postal 131, Goiânia, Goiás, CEP, 74001–970
Supplementary files
