Constant angle property and canonical principal directions for surfaces in

Y Fu, AI Nistor - Mediterranean journal of mathematics, 2013 - Springer
In this paper, we study surfaces in Lorentzian product spaces M^ 2 (c) * R _1. We classify
constant angle spacelike and timelike surfaces in S^ 2 * R _1 and H^ 2 * R _1. Moreover …

Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map

V Baltić, K Eren, A Savić, S Ersoy - Mathematics, 2024 - mdpi.com
In this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very
useful in the classification of surfaces, are investigated in terms of the Frenet elements of the …

Timelike surfaces in N× R with a canonical null direction

G Ruiz-Hernández, F Valdez-Ortega - Journal of Geometry and Physics, 2024 - Elsevier
Let N be a Lorentz surface and let∂ t be a unit vector field on the Lorentz manifold N× R
tangent to R. A timelike surface Σ in N× R is said to have a canonical null direction with …

Constant Angle Ruled Surfaces in

A Has, B Yılmaz, Y Yaylı - Fundamental Journal of Mathematics and …, 2023 - dergipark.org.tr
In this study, for the first time, a method is given for a developable ruled surface to be a
constant angle ruled surface. The general equations of constant angle surfaces have been …

[HTML][HTML] Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms

M Navarro, G Ruiz-Hernández, DA Solis - Differential Geometry and its …, 2016 - Elsevier
We study constant angle semi-Riemannian hypersurfaces M immersed in semi-Riemannian
space forms, where the constant angle is defined in terms of a closed and conformal vector …

[PDF][PDF] Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space

SÖ Karakuş - International Electronic Journal of Geometry, 2018 - dergipark.org.tr
ABSTRACT A constant angle surface in Minkowski space is a spacelike or timelike surface
whose unit normal vector field makes a constant (hyperbolic) angle with a fixed vector. In this …

[PDF][PDF] New classification results on surfaces with a canonical principal direction in the Minkowski 3-space

A Kelleci, M Ergüt, NC Turgay - Filomat, 2017 - doiserbia.nb.rs
New Classification Results on Surfaces with a Canonical Principal Direction in the Minkowski
3-space Page 1 Filomat 31:19 (2017), 6023–6040 https://doi.org/10.2298/FIL1719023K …

[PDF][PDF] Quaternionic approach on constant angle surfaces in S2× R

S ÖzkaldıKarakus - Applied Mathematics E-Notes, 2019 - math.nthu.edu.tw
A helix surface or constant angle surface is a surface whose unit normal vector field forms a
constant angle with a fixed field of directions of the ambient space. In this paper we study …

Singular minimal surfaces which are minimal

ME Aydin, A Erdur, M Ergut - arXiv preprint arXiv:2011.10110, 2020 - arxiv.org
In the present paper, we discuss the singular minimal surfaces in a Euclidean 3-space R^{3}
which are minimal. In fact, such a surface is nothing but a plane, a trivial outcome. However …

[PDF][PDF] New results on helix surfaces in the Minkowski 3-space

A Kelleci, NC Turgay, M Ergüt - International Electronic Journal of …, 2019 - dergipark.org.tr
New results on helix surfaces in the Minkowski 3-space Page 1 INTERNATIONAL
ELECTRONIC JOURNAL OF GEOMETRY VOLUME 12 NO.1PAGE 61–70 (2019) New results …