University of Cagliari
partially_open
Rita Fresu
Loxodromes on Invariant Surfaces in Three-Manifolds
Caddeo R.Member of the Collaboration Group
;Onnis I. I.;Piu P.
Member of the Collaboration Group
2020-01-01
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 R3. In particular, we show how to parametrize a loxodrome on an invariant surface of H2× R and H3, 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.
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| s00009-019-1439-2.pdf Solo gestori archivio
Description: VoR
Type: versione editoriale
Size 920.63 kB
Format Adobe PDF
|
920.63 kB | Adobe PDF | & nbsp; View / Open Request a copy |
| Caddeo-Onnis-Piu-Revised-cover.pdf open access
Description: AAM
Type: Author’s Accepted Manuscript AAM, Post-print, (version accepted by the publisher)
Size 4.45 MB
Format Adobe PDF
|
4.45 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.