Yayınlanmış 1 Ocak 2018
| Sürüm v1
Dergi makalesi
Açık
On the duality between rotational minimal surfaces and maximal surfaces
Oluşturanlar
- 1. Univ Granada, Inst Matemat IEMath GR, Dept Geometria & Topol, E-18071 Granada, Spain
- 2. Ankara Univ, Dept Math, Ankara, Turkey
Açıklama
We investigate the duality between minimal surfaces in Euclidean space and maximal surfaces in Lorentz-Minkowski space in the framework of rotational surfaces. We study if the dual surfaces of two congruent rotational minimal (or maximal) surfaces are congruent. We analyze the duality process when we deform a rotational minimal (maximal) surface by a one-parametric group of rotations. In this context, the family of Bonnet minimal (maximal) surfaces and the Goursat transformations play a remarkable role. (C) 2017 Elsevier Inc. All rights reserved.
Dosyalar
bib-bcc266be-e47f-4eb4-9dcf-df21de8b6d4e.txt
Dosyalar
(169 Bytes)
| Ad | Boyut | Hepisini indir |
|---|---|---|
|
md5:7bfa1e866b049aa324091c513b992245
|
169 Bytes | Ön İzleme İndir |