Search

Your search keyword '"Ergüt, Mahmut"' showing total 106 results
Start Over Author "Ergüt, Mahmut"
106 results on '"Ergüt, Mahmut"'

1. On surfaces endowed with canonical principal direction in Euclidean spaces

Author

Kelleci, Alev, Turgay, Nurettin Cenk, and Ergüt, Mahmut

Subjects
Mathematics - Differential Geometry, 53B25(Primary), 53A35, 53C50 (Secondary)
Abstract

In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed with CPD in the Euclidean 4-space., Comment: 11 pages. arXiv admin note: text overlap with arXiv:1804.00721

Published
2018

2. On generalized constant ratio surfaces with higher codimension

Author

Kelleci, Alev, Turgay, Nurettin Cenk, and Ergüt, Mahmut

Subjects
Mathematics - Differential Geometry, 53B25(Primary), 53A35, 53C50 (Secondary)
Abstract

In this paper, we study generalized constant ratio surfaces in the Euclidean 4-space. We also obtain a classifications of constant slope surfaces., Comment: 14 pages

Published
2018

3. Complete classification of surfaces with a canonical principal direction in the Minkowski 3-space

Author

Kelleci, Alev, Ergüt, Mahmut, and Turgay, Nurettin Cenk

Subjects
Mathematics - Differential Geometry, Primary 53B25, Secondary 53A35, 53C50
Abstract

In this paper, we characterize and classify all surfaces endowed with canonical principal direction relative to a space-like and light-like, constant direction in Minkowski 3-spaces., Comment: Keywords: Minkowski space, Lorentzian surfaces, canonical principal direction

Published
2017

4. On space-like generalized constant ratio hypersufaces in Minkowski spaces

Author

Ergüt, Mahmut, Kelleci, Alev, and Turgay, Nurettin Cenk

Subjects
Mathematics - Differential Geometry, 53C42 (Primary), 53D12, 53B25 (Secondary)
Abstract

A hypersurface in a Euclidean space $\mathbb{E}^{n+1}$ is said to be a generalized constant ratio (GCR) hypersurface if the tangential part of its position vector is one of its principle directions. In this work, we move the study of generalized constant ratio hypersurfaces started in \cite% {YuFu2014GCRS} into the Minkowski space. First, we get some geometrical properties of non-degenerated GCR hypersurfaces in an arbitrary dimensional Minkowski space. Then, we obtain complete classification of GCR surfaces in the Minkowski 3-space. We also give some explicit examples., Comment: Keywords: Generalized constant ratio hypersurfaces, Minkowski 3-space, space-like surfaces, flat surfaces

Published
2016

5. Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space

Author

Öğrenmiş, Alper Osman, Öztekin, Handan, and Ergüt, Mahmut

Subjects
Mathematics - Differential Geometry, 53A35, 53B30
Abstract

The aim of this work is to study the Mannheim curves in 3-dimensional Galilean and Pseudo - Galilean space. We obtain the characterizations between the curvatures and torsions of the Mannheim partner curves., Comment: 9 pages

Published
2011

6. Special curves of 4d galilean space

Author

Bektaş, Mehmet, Ergüt, Mahmut, and Öğrenmiş, Alper Osman

Subjects
Mathematics - Differential Geometry, 53B30, 53A35
Abstract

Special curves and their characterizations are one of the main area of mathematicians and physicians. As a special curve we will mainly focus on Mannheim curve which has the following relation: k1={\beta}(k1^2+k2^) where k1 and k2 are curvature and torsion, respectively. In the present paper we define Mannheim curves for 4-dimensional Galilean space and investigate some characterization of it., Comment: 6 pages

Published
2011

15. The Hasimoto Surface According to Bishop Frame

Author

KELLECİ, Alev, BEKTAŞ, Mehmet, and ERGÜT, Mahmut

Subjects
Balıkçılık, Taşınım, Viroloji, Akustik, Deniz ve Tatlı Su Biyolojisi, Mathematics::Analysis of PDEs, Ekoloji, Astronomi ve Astrofizik, Fizik, Kimya, Kuş Bilimi, Hasimoto surface,Smoke ring equation,Bishop frame, Mikroskopi, Uygulamalı, İstatistik ve Olasılık, Tıbbi, İnorganik ve Nükleer, Partiküller ve Alanlar, Limnoloji, Matematik, Mineraloji, Basic Sciences, Temel Bilimler, Oşinografi, Paleontoloji, Spektroskopi, Fizikokimya, Entomoloji, Zooloji, Nükleer, Organik, Parazitoloji, Biyoloji Çeşitliliğinin Korunması, Optik, Akışkanlar ve Plazma, Çevre Bilimleri, Genetik ve Kalıtım, Mantar Bilimi, Termodinamik, Su Kaynakları, Hasimoto yüzeyler,Duman halkası denklemi,Bishop çatısı, Analitik, Atomik ve Moleküler Kimya, Biyoloji, Katı Hal
Abstract

Bu çalışmada Öklidyen 3-uzayındaki Hasimoto yüzeyleriincelenmiştir. İlk olarak, Öklidyen 3-uzayındaki Hasimoto yüzeyleriningeometrik özellikleri incelenmiştir. Özellikle Bishop çatısı ile ilişkilendirilmişbu yüzeylerin eğrilikleri elde edilmiştir. Daha sonrasında bu yüzeylerin Bishopçatısına göre parametre eğrilerinin bazı karakterizasyonları verilmiştir., In this paper, weinvestigate the Hasimoto surfaces in Euclidean 3- space. Firstly, weinvestigate the geometric properties of these surfaces in Euclidean 3-space.Especially, we obtain the curvatures of Hasimoto surface according to Bishopframe. Then we give some characterization of parameter curves obtainedaccording to Bishop frame of Hasimoto surfaces.

Published
2019

17. Helicoidal Surfaces Which Have the Timelike Axis in Minkowski Space with Density

Author

Yıldız, Önder Gökmen, ERGÜT, Mahmut, and AKYİĞİT, Mahmut

Subjects
Quantitative Biology::Biomolecules, Engineering, Minkowski space,Helicoidal,Manifold with density,Weighted curvature, Mühendislik, Mathematics::Differential Geometry
Abstract

In this paper, we study the prescribed curvature problem in manifold with density. We consider the Minkowski 3-space with a positive density function. For a given plane curve and an axis in the plane in Minkowski 3-space, a helicoidal surface can be constructed by the plane curve under helicoidal motions around the axis. Also we give examples of helicoidal surface with weighted Gaussian curvature.

Published
2018

22. Affine translation surfaces in the isotropic 3-space

Author

AYDİN, Muhittin Evren and ERGÜT, Mahmut

Subjects
Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, Mathematics::Differential Geometry, 53A35, 53A40, 53B25, Isotropic space,affine translation surface,Weingarten surface
Abstract

The isotropic 3-space \mathbb{I}^{3} is a real affine 3-space endowed with the metric dx^{2}+dy^{2}. In this paper we describe Weingarten and linear Weingarten affine translation surfaces in \mathbb{I}^{3}. Further we classify the affine translation surfaces in \mathbb{I}^{3} that satisfy certain equations in terms of the position vector and the Laplace operator., 11 pages, 3 figures. All comments are welcome

Published
2016

27. Erratum to: 'Null Mannheim curves in the Minkowski 3-space E13'

Author

ÖZTEKİN, Handan and ERGÜT, Mahmut

Subjects
Turk. J. Math.,37,(2013),551-552. Full text: pdf Other articles published in the same issue: Turk. J. Math.,vol.37,iss.3
Abstract

In this paper, Theorem 3.2 and Proposition 3.2 in the paper which is cited in the title are corrected.

Published
2014

29. MINIMAL AFFINE TRANSLATION SURFACES IN HYPERBOLIC SPACE.

Author

Bozok, Hülya Gün and Ergüt, Mahmut

Subjects
HYPERBOLIC spaces, AFFINE geometry, SURFACE geometry
Abstract

In this paper we study the minimal polynomial affine translation surfaces in the 3-dimensional hyperbolic space H³. We suppose that the affine translation surface is minimal in E3 and then we prove that there are not any minimal polynomial affine translation surfaces in H³. [ABSTRACT FROM AUTHOR]

Published
2018

30. Frenet equations of biharmonic curves in terms of exponential maps in the special 3-dimensional Kenmotsu manifold

Author

Körpinar, Talat, Ergüt, Mahmut, and Turhan, Essin

Subjects
Revistas, Matemáticas, Mathematics::Differential Geometry, Facultad de Ciencias, Departamento de Matemática
Abstract

In this article, we study matrix representation of biharmonic curves in 3-dimensional Kenmotsu manifold. We characterize Frenet frame of the biharmonic curves in terms of their curvature and torsion in special 3-dimensional Kenmotsu manifold K. 185-194 talatkorpinar@gmail.com essin.turhan@gmail.com

Published
2011

32. Spacelike biharmonic general helices with timelike normal in the lorentzian group of rigid motions E(2)

Author

Körpinar, Talat, Ergüt, Mahmut, and Turhan, Essin

Subjects
Revistas, Rigid motions, Matemáticas, Biharmonic curve, Harmonic curve, Facultad de Ciencias, Departamento de Matemática
Abstract

In this paper, we study spacelike biharmonic general helices in the Lorentzian group of rigid motions E(2). We characterize the spacelike biharmonic general helices in terms of their curvature and torsion in the Lorentzian group of rigid motions E(2). 92-100 talatkorpinar@gmail.com essin.turhan@gmail.com

Published
2011

35. NEW APPROACH FOR MANNHEIM CURVES IN TERMS OF INEXTENSIBLE FLOWS IN E³.

Author

KÖRPINAR, TALAT and ERGÜT, MAHMUT

Subjects
*PARTIAL differential equations, *SHIPBUILDING, *HARBOR design & construction, *TORSION, *CURVATURE, *MATHEMATICAL models
Abstract

In this work, we study the properties of the Mannheim curves in terms of inextensible flows in E². Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a curve in E². [ABSTRACT FROM AUTHOR]

Published
2017

47. The equiform differential geometry of curves in 4-dimensional galilean space G4.

Author

Aydin, M. Evren and Ergüt, Mahmut

Subjects
DIFFERENTIAL geometry, HELICES (Algebraic topology), GALILEAN transformation, COORDINATES, CURVES, MATHEMATICAL functions
Abstract

In this paper, we establish equiform differential geometry of curves in 4- dimensional Galilean space G4 . We obtain the angle between the equiform Frenet vectors and their derivatives in G4 . Also, we characterize generalized helices with respect to their equiform curvatures [ABSTRACT FROM AUTHOR]

Published
2013

48. SOME PROPERTIES OF MANNHEIM CURVES IN GALILEAN AND PSEUDO-GALILEAN SPACES.

Author

Öğrenmiş, Alper Osman, Öztekin, Handan, and Ergüt, Mahmut

Subjects
GALILEAN group, TRANSFORMATION groups, CURVES, CURVATURE, CURVES on surfaces
Abstract

The aim of this work is to study the Mannheim curves in 3-dimensional Galilean and pseudo-Galilean space. We obtain the characterizations between the curvatures and torsions of the Mannheim partner curves. [ABSTRACT FROM AUTHOR]

Published
2012

50. Euler-Savary's Formula for the Planar Curves in Two Dimensional Lightlike Cone.

Author

Balgetır Öztekın, Handan and Ergüt, Mahmut

Subjects
*LINEAR operators, *EULER angles, *GRAPHIC methods, *GRAPH theory, *DIFFERENTIAL invariants, *NUMERICAL analysis, *SPACETIME, *WORLD line (Physics)
Abstract

In this paper, we study the Euler-Savary's formula for the planar curves in the lightlike cone. We first define the associated curve of a curve in the two dimensional lightlike cone Q2:Then we give the relation between the curvatures of a base curve, a rolling curve and a roulette which lie on two dimensional lightlike cone Q2. [ABSTRACT FROM AUTHOR]

Published
2010

Catalog

Books, media, physical & digital resources
See catalog results