Contact of a regular surface in Euclidean 3-space with cylinders and cubic binary differential equations

Autor(es)

Fukui, Toshizumi ; Hasegawa, Masaru ; Nakagawa, Kouichi

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN; v. 69, n. 2, p. 819-847, APR 2017.
• Citações Web of Science: 0

Resumo

We investigate the contact types of a regular surface in the Euclidean 3-space R-3 with right circular cylinders. We present the conditions for existence of cylinders with A(1), A(2), A(3), A(4), A(5),D-4 and D-5 contacts with a given surface. We also investigate the kernel field of A >= 3-contact cylinders on the surface. This is defined by a cubic binary differential equation and we classify singularity types of its flow in the generic context. (AU)

• Processo FAPESP: 13/02543-1 - A geometria de superfícies singulares de ponto de vista da teoria das singularidades
• Beneficiário: Hasegawa Masaru
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado