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 …

[PDF][PDF] Surfaces in E3 with L1-pointwise 1-type Gauss map

YH Kim, NC Turgay - Bull. Korean Math. Soc, 2013 - academia.edu
In this paper, we study surfaces in E3 whose Gauss map G satisfies the equation DG= f (G+
C) for a smooth function f and a constant vector C, where D stands for the Cheng-Yau …

General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space E24

FK Aksoyak, Y Yayli - Indian Journal of Pure and Applied Mathematics, 2015 - Springer
Ferdag Kahraman Aksoyak* and Yusuf Yayli** Page 1 Indian J. Pure Appl. Math., 46(1): 107—118,
February 2015 © Indian National Science Academy DOI: 10.1007/s13226-015-0112-0 …

On generalized rotational surfaces in Euclidean spaces

K Arslan, B Bulca, D Kosova - Journal of the Korean Mathematical …, 2017 - koreascience.kr
In the present study we consider the generalized rotational surfaces in Euclidean spaces.
Firstly, we consider generalized tractrices in Euclidean (n+ 1)-space $\mathbb {E}^{n+ 1} …

Generalized rotation surfaces in E4 with density

A Kazan, M Altın, DW Yoon - Journal of Geometry and Physics, 2023 - Elsevier
In the present paper, we obtain the weighted mean and weighted Gaussian curvatures of a
generalized rotation surface in E 4 with density e λ 1 x 2+ λ 2 y 2+ λ 3 z 2+ λ 4 t 2, where λ i …

Loxodromes on non-degenerate helicoidal surfaces in Minkowski space–time

M Babaarslan, N Sönmez - Indian Journal of Pure and Applied …, 2021 - Springer
In this article, we first study a class of helicoidal surfaces in Minkowski space–time E 1 4 \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

Special proper pointwise slant surfaces of a locally product Riemannian manifold

M Gülbahar, E Kilic, SS ÇELİK - Turkish Journal of …, 2015 - journals.tubitak.gov.tr
The structure of pointwise slant submanifolds in an almost product Riemannian manifold is
investigated and the special proper pointwise slant surfaces of a locally product manifold are …

CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP

YH Kim, NC Turgay - Bulletin of the Korean Mathematical Society, 2013 - koreascience.kr
In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of
their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss …

Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski 4-Space E4-1

FK Aksoyak, Y Yayli - arXiv preprint arXiv:1306.0306, 2013 - arxiv.org
In this paper, we study spacelike rotational surfaces which are called boost invariant
surfaces in Minkowski 4-space E41. We give necessary and sufficient condition for flat …

Flat Rotational Surface with Pointwise 1-typeGauss map in E4

FK Aksoyak, Y Yaylı - arXiv preprint arXiv:1302.2804, 2013 - arxiv.org
In this paper we study general rotational surfaces in the 4-dimensional Euclidean space E4
and give a characterization of flat general rotation surface with pointwise 1-type Gauss map …