arXiv Open Access 2022

Shapes of surfaces that contain a great and a small circle through each point

Niels Lubbes

Lihat Sumber

Abstrak

We classify the topological types of surfaces in the 3-dimensional unit sphere that contain both a great and a small circle through each point. In particular, these surfaces are homeomorphic to one of five normal forms and are either the pointwise product of circles in the unit quaternions or contain five concurrent circles. We classify the real singular loci of such surfaces and characterize how circles in the surface meet the self-intersection locus.

Topik & Kata Kunci

math.AG math.GT

Penulis (1)

Niels Lubbes

Format Sitasi

APA MLA BibTeX

Lubbes, N. (2022). Shapes of surfaces that contain a great and a small circle through each point. https://arxiv.org/abs/2205.14438

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓