Person:
ARSLAN, KADRİ

Profile Picture

Email Address

Birth Date

Research Projects

Organizational Units

OrgUnit Logo
Organizational Unit

Job Title

Last Name

ARSLAN

First Name

KADRİ

Name

Filters

Reset filters

Settings

Search Results

Now showing 1 - 10 of 22
  • No Thumbnail Available
    Publication
    General rotational surfaces satisfying ΔxT = φxT
    (Springer Basel Ag, 2022-02-01) Demirbaş, Eray; Arslan, Kadri; ARSLAN, KADRİ; Bulca, Betül; BULCA SOKUR, BETÜL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/ Matematik Anabilim Dalı.; 0000-0001-5861-0184
    In the present study we consider rotational surfaces in Euclidean 4-space whose canonical vector field x(T) satisfy the equality Delta x(T) = phi x(T). Further, we obtain some results related to three types of general rotational surfaces in E-4 satisfying this equality. We also give some examples related with these type of surfaces.
  • No Thumbnail Available
    Publication
    Rotational surfaces with rotations in x3x4-plane
    (Tsing Hua Univ, Dept Mathematics, 2021-01-01) Arslan, Kadri; Bulca, Betül; ARSLAN, KADRİ; BULCA SOKUR, BETÜL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0001-5861-0184; EJT-1458-2022; AAG-7693-2021
    In the present study we consider generalized rotational surfaces in Euclidean 4-space E-4. Further, we obtain some curvature properties of these surfaces. We also introduce some kind of generalized rotational surfaces in E-4 with the choice of meridian curve. Finally, we give some examples.
  • No Thumbnail Available
    Publication
    Biminimal curves in euclidean spaces
    (Int Electronic Journal Geometry, 2009-10-01) Öztürk, Günay; Ugail, Hassan; ARSLAN, KADRİ; Aydın, Yılmaz; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-1440-7050; 0000-0002-3084-1797; AAG-8775-2021
    We study with biminimal curves, that is curves which are critical points of the bienergy for normal variations. We give a description of the Euler-Lagrange equation associated to biminimal curves on a Riemannian manifold. We describe curves of AW(k) type of Euclidean n-space E-n. We show that every biminimal curves of E-n are of AW(1)-type. We also show that lambda-biminimal curves of E-n are of AW(3)-type.
  • Thumbnail Image
    Publication
    The curvature tensor of -contact metric manifolds
    (Springer, 2015-07-01) Arslan, Kadri; Carriazo, Alfonso; Martin-Molina, Veronica; Murathan, Cengizhan; ARSLAN, KADRİ; MURATHAN, CENGİZHAN; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-1440-7050; ABE-8167-2020; ABH-3658-2020; AAG-8775-2021
    We study the Riemann curvature tensor of -contact metric manifolds, which we prove to be completely determined in dimension 3. We also observe how this curvature tensor is affected by -homothetic deformations, which will prompt the definition and study of generalized -space forms and of the necessary and sufficient conditions for them to be conformally flat.
  • No Thumbnail Available
    Publication
    Semiparallel tensor product surfaces in e 4
    (Int Electronic Journal Geometry, 2014-04-01) Bulca, Betül; BULCA SOKUR, BETÜL; Arslan, Kadri; ARSLAN, KADRİ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0001-5861-0184; 0000-0002-1440-7050; AAG-7693-2021; AAG-8775-2021
    B.Y. Chen initiated the study of the tensor product immersion of two immersions of a given Riemannian manifold. Inspired by Chen's definition, F. Decruyenaere, F. Dillen, L. Verstraelen and L. Vrancken studied the tensor product of two immersions, in general, different manifolds; under certain conditions, this realizes an immersion of the product manifold. Further, tensor product surfaces of Euclidean plane curves were investigated by I.Mihai and B. Rouxel. In the present study we consider the tensor product surfaces in 4-dimensional Euclidean space E-4. We have shown that tensor product surfaces in E(n)satisfying the semiparallelity condition (R) over bar (X, Y). h = 0 are totally umbilical surfaces.
  • No Thumbnail Available
    Publication
    On tzitzeica curves in euclidean 3-space e 3
    (Univ Nis, 2018-01-01) Bayram, Bengü; Tunc, Emrah; Öztürk, Günay; Arslan, Kadri; ARSLAN, KADRİ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; AAG-8775-2021
    In this study, we consider Tzitzeica curves (Tz-curves) in a Euclidean 3-space E-3. We characterize such curves according to their curvatures. We show that there is no Tz-curve with constant curvatures (W-curves). We consider Salkowski (TC-curve) and anti-Salkowski curves.
  • No Thumbnail Available
    Publication
    Semi-parallel meridian surfaces in E⁴
    (Int Electronic Journal Geometry, 2015-10-01) Bulca, Betül; Arslan, Kadri; BULCA SOKUR, BETÜL; ARSLAN, KADRİ; Ulıdağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0001-5861-0184; 0000-0002-1440-7050; AAG-7693-2021; AAG-8775-2021
    In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We classify semi-parallel meridian surfaces in 4-dimensional Euclidean space E-4.
  • No Thumbnail Available
    Publication
    On generalized spherical surfaces in euclidean spaces
    (Honam Mathematical Soc, 2017-09-01) Bayram, Bengü; Arslan, Kadri; ARSLAN, KADRİ; Bulca, Betül; BULCA SOKUR, BETÜL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-1440-7050; 0000-0001-5861-0184; AAG-7693-2021
    In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean (n + 1) space En+1. Further, we introduce some kind of generalized spherical surfaces in Euclidean spaces E-3 and E-4 respectively. We have shown that the generalized spherical surfaces of first kind in E-4 are known as rotational surfaces, and the second kind generalized spherical surfaces are known as meridian surfaces in I. We have also calculated the Gaussian, normal and mean curvatures of these kind of surfaces. Finally, we give some examples.
  • No Thumbnail Available
    Publication
    Some characterizations of timelike and spacelike curves with harmonic 1-type darboux instantaneous rotation vector in the minkowski 3-space E13
    (Ankara Univ, Fac Sci, 2013-01-01) Kocayiğit, Hüseyin; Önder, Mehmet; Arslan, Kadri; ARSLAN, KADRİ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/ Matematik Bölümü.; 0000-0002-1440-7050; AAG-8775-2021
    In this study, by using Laplacian and normal Laplacian operators, some characterizations on the Darboux instantaneous rotation vector field of timelike and spacelike curves are given in Minkowski 3-space E-1(3)
  • No Thumbnail Available
    Publication
    Characterizations of space curves with 1-type darboux instantaneous rotation vector
    (Korean Mathematical Soc, 2016-01-01) Kocayiğit, Hüseyin; Önder, Mehmet; Arslan, Kadri; ARSLAN, KADRİ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-1440-7050; AAG-8775-2021
    In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E-3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.