Helicoidal flat surfaces in the 3-sphere

Manfio, Fernando; dos Santos, Joao Paulo

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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.)

Helicoidal flat surfaces in the 3-sphere

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Author(s):	Manfio, Fernando ^[1] ; dos Santos, Joao Paulo ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, ICMC, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Brasilia, MAT, BR-70910900 Brasilia, DF - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Mathematische Nachrichten; v. 292, n. 1, p. 127-136, JAN 2019.
Web of Science Citations:	0
Abstract
In this paper, helicoidal flat surfaces in the 3-dimensional sphere S-3 are considered. A complete classification of such surfaces, that generalizes a classification of rotational flat surfaces, is given in terms of the first and second fundamental forms for asymptotic parameters. The result consists in a relation between helicoidal flat surfaces and linear solutions of the corresponding homogeneous wave equation for the angle function. (AU)

FAPESP's process:	14/01989-9 - Generalized Willmore surfaces
Grantee:	Fernando Manfio
Support Opportunities:	Scholarships abroad - Research

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