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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