Differential geometry of 1-type submanifolds and submanifolds with 1-type Gauss map

BY Chen, E Güler, Y Yaylı… - … Electronic Journal of …, 2023 - dergipark.org.tr
The theory of finite type submanifolds was introduced by the first author in late 1970s and it
has become a useful tool for investigation of submanifolds. Later, the first author and P …

Minimal ruled submanifolds associated with Gauss map

SM Jung, DS Kim, YH Kim - Taiwanese Journal of Mathematics, 2018 - projecteuclid.org
We set up the new models of product manifolds, namely a generalized circular cylinder and
a generalized hyperbolic cylinder as cylindrical types of ruled submanifold in Minkowski …

On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

R Yeğgin Şen, A Kelleci, NC Turgay… - … Journal of Mathematics, 2021 - Springer
In this paper, we study biconservative immersions into the semi-Riemannian space form R^
4_2 (c) R 2 4 (c) of dimension 4, index 2 and constant curvature c ∈ {0,-1, 1\} c∈ 0,-1, 1 …

Genelleştirilmiş 1-Tipinden Gauss Tasvirine Sahip Minkowski Uzayının Yarı-Riemann Alt Manifoldları

BB Demirci - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik …, 2022 - dergipark.org.tr
Bu makalede, genelleştirilmiş 1-tipinden Gauss tasvirine sahip Minkowski uzayındaki dönel
yüzeyler ve regle alt manifoldları üzerine çalışılmıştır. İlk olarak, ikinci çeşit noktasal 1 …

[HTML][HTML] ТЕНЗОР КРИВИЗНЫ N-ПОВЕРХНОСТИ И ЕЕ СФЕРИЧЕСКОГО ОБРАЗА В EN+ K

ДВ Шармин, ТН Шармина… - Известия высших …, 2023 - cyberleninka.ru
Основной задачей классической многомерной дифференциальной геометрии является
исследование свойств различных n-поверхностей. Часто в этих исследованиях …

A Survey On New Classes Of Submanifolds In The Pseudo-Euclidean Spaces Of Index 2.

NC Turgay - Ömer AKIN - academia.edu
In this talk, we present a survey of some new classes of submanifolds in the pseudo-
Euclidean spaces that we obtained after our recent studies. Firstly, we study a class of quasi …

QUASI-MINIMAL LORENTZ SURFACES IN PSEUDO-EUCLIDEAN 4-SPACE WITH NEUTRAL METRIC.

Y Aleksieva, V Milousheva - Serdica Mathematical Journal, 2020 - search.ebscohost.com
A Lorentz surface in the pseudo-Euclidean 4-space with neutral metric is called quasi-
minimal if its mean curvature vector is lightlike at each point. We prove that any quasi …

Исследование глобальных свойств замкнутой нерегулярной гиперповерхности с биективным гауссовым отображением с помощью функции уровня

ВГ Шармин, ДВ Шармин - Вестник Южно-Уральского …, 2020 - cyberleninka.ru
Строение замкнутых и незамкнутых регулярных гиперповерхностей с инъективным
гауссовым отображением достаточно хорошо изучено. При решении ряда задач …

Biconservative quasi-minimal immersions into semi-Euclidean spaces

RY Şen, A Kelleci, NC Turgay, EÖ Canfes - arXiv preprint arXiv …, 2019 - arxiv.org
In this paper we study biconservative immersions into the semi-Riemannian space form $ R^
4_2 (c) $ of dimension 4, index 2 and constant curvature, where $ c\in\{0,-1, 1\} $. First, we …

On the Gauss Map of Lorentzian Surfaces with Zero Mean Curvature in Semi-Riemannian Space-forms of Arbitrary Dimension

NC Turgay - mds2017.math.bas.bg
A mapping φ: M→ EN S is said to be finite type if it can be expressed as φ= φ0+ φ1+·+ φk for
a constant vector φ0 and some eigenvectors φ1,..., φk of the Laplace operator∆ of M, where …