Pseudo-parallel surfaces of S-c(n) x R and H-c(n) x R

Lobos, G. A.; Tassi, M. P.; Yucra Hancco, A. J.

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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.)

Pseudo-parallel surfaces of S-c(n) x R and H-c(n) x R

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Author(s):	Lobos, G. A. ^[1] ; Tassi, M. P. ^[1] ; Yucra Hancco, A. J. ^[2] Total Authors: 3
Affiliation:	^[1] Univ Fed Sao Carlos, Dept Math, Sao Carlos, SP - Brazil ^[2] Fed Univ Tocantins, Campus Araguaina, Araguaina, TO - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 50, n. 3, p. 705-715, SEP 2019.
Web of Science Citations:	0
Abstract
In this work we give a characterization of pseudo-parallel surfaces in S(c)(n)xR and H(c)(n)xR, extending an analogous result by Asperti-Lobos-Mercuri for the pseudo-parallel case in space forms. Moreover, when n = 3, we prove that any pseudo-parallel surface has flat normal bundle. We also give examples of pseudo-parallel surfaces which are neither semi-parallel nor pseudo-parallel surfaces in a slice. Finally, when n = 4 we give examples of pseudo-parallel surfaces with non vanishing normal curvature. (AU)

FAPESP's process:	16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis
Grantee:	Paolo Piccione
Support Opportunities:	Research Projects - Thematic Grants

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