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

Fukui, Toshizumi; Hasegawa, Masaru; Nakagawa, Kouichi

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Fukui, Toshizumi ; Hasegawa, Masaru ; Nakagawa, Kouichi Total Authors: 3
Document type:	Journal article
Source:	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN; v. 69, n. 2, p. 819-847, APR 2017.
Web of Science Citations:	0
Abstract
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)

FAPESP's process:	13/02543-1 - The geometry of singular surfaces from the singularity theory viewpoint
Grantee:	Hasegawa Masaru
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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