Loxodromes on Invariant Surfaces in Three-Manifolds

Caddeo, Renzo; Onnis, Irene I.; Piu, Paola

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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.)

Loxodromes on Invariant Surfaces in Three-Manifolds

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Author(s):	Caddeo, Renzo ^[1] ; Onnis, Irene I. ^[2] ; Piu, Paola ^[1] Total Authors: 3
Affiliation:	^[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari - Italy ^[2] Univ Sao Paulo, ICMC, Dept Matemat, CP 668, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Mediterranean Journal of Mathematics; v. 17, n. 1 FEB 2020.
Web of Science Citations:	0
Abstract
In this paper, we prove some results concerning the loxodromes on an invariant surface in a three-dimensional Riemannian manifold, a part of which generalizes classical results about loxodromes on rotational surfaces in R-3. In particular, we show how to parametrize a loxodrome on an invariant surface of H-2 x R and H-3, and we exhibit the loxodromes of some remarkable minimal invariant surfaces of these spaces. In addition, we give an explicit description of the loxodromes on an invariant surface with constant Gauss curvature. (AU)

FAPESP's process:	16/24707-4 - Algebraic, geometric and differential topology
Grantee:	Daciberg Lima Gonçalves
Support Opportunities:	Research Projects - Thematic Grants

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