Lines of curvature on quadric hypersurfaces of ℝ4
- 作者: Sotomayor J.1, Garcia R.1
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隶属关系:
- Instituto de Matemática e Estatística
- 期: 卷 37, 编号 3 (2016)
- 页面: 288-306
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197731
- DOI: https://doi.org/10.1134/S1995080216030203
- ID: 197731
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详细
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].
作者简介
J. Sotomayor
Instituto de Matemática e Estatística
编辑信件的主要联系方式.
Email: sotp@ime.usp.br
巴西, 1010 Cidade Universitária, São Paulo S. P, CEP, 05508-090
R. Garcia
Instituto de Matemática e Estatística
编辑信件的主要联系方式.
Email: ragarcia@ufg.br
巴西, Caixa Postal 131, Goiânia, Goiás, CEP, 74001–970
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