Yazar "Ergüt, Mahmut" için listeleme
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Affine Factorable Surfaces in Isotropic Spaces
Aydın, Muhittin Evren; Erdur, Ayla; Ergüt, Mahmut (Inst Applied Mathematics, 2020)In this paper, we study the problem of finding affine factorable surfaces in a 3-dimensional isotropic space I-3 with prescribed Gaussian (K) or mean (H) curvatures. Because the absolute figure of I-3, by permutation of ... -
Affine Translation Surfaces in the Isotropic 3-Space
Aydın, Muhittin Evren; Ergüt, Mahmut (Int Electronic Journal Geometry, 2017)In this paper, we describe (linear) Weingarten affine translation surfaces of first kind in the isotropic 3-space. In addition, we obtain such surfaces that satisfy certain equations in terms of the position vector and the ... -
A classication of homothetical hypersurfaces in Euclidean spaces via Allen determinants and its applications
Aydın, Muhittin Evren; Ergüt, Mahmut (Balkan Society of Geometers, 2015)The present authors, in [3], classied the composite functions of the form f = F (h1 (x1) × ... × hn (xn)) via the Allen determinants used to calculate the Allen's elasticity of substitution of production functions in ... -
Classification of Factorable Surfaces in the Pseudo-Galilean Space
Aydın, Muhittin Evren; Öğrenmiş, Alper Osman; Ergüt, Mahmut (Croatian Mathematical Soc, 2015)In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G(3)(1) and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable ... -
Curves of Constant Breadth According to Type-2 Bishop Frame in E3
Bozok, Hülya Gün; Sepet, Sezin Aykurt; Ergüt, Mahmut (Ankara Univ, Fac Sci, 2017)In this paper, we study the curves of constant breadth according to type-2 Bishop frame in the 3-dimensional Euclidean Space E-3. Moreover some characterizations of these curves are obtained. -
Eğrilerin kesirli türev yardımıyla incelenmesi
Çavdar, Nursemin (Tekirdağ Namık Kemal Üniversitesi, 2022)Kesirli analiz matematiğin teorik kısmında büyük bir öneme sahip olduğu gibi uygulama alanında da büyük bir yer edinmiştir. Bu tez çalışmasında Kesirli Analiz teknikleri kullanılarak eğrilerin geometrisi ele alındı. Bu ... -
Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space
Aydın, Muhittin Evren; Mihai, Adela; Öğrenmiş, Alper Osman; Ergüt, Mahmut (Hindawi Ltd, 2015)We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space G(3)(1). We classify such surfaces with null curvature and characterize some special curves on these surfaces ... -
The Hasimoto Surface According to Bishop Frame
Kelleci, Alev; Bektaş, Mehmet; Ergüt, Mahmut (2019)In this paper, we investigate the Hasimoto surfaces in Euclidean 3- space. Firstly,we investigate the geometric properties of these surfaces in Euclidean 3-space.Especially, we obtain the curvatures of Hasimoto surface ... -
Isotropic Geometry of Graph Surfaces Associated with Product Production Functions in Economics
Aydın, Muhittin Evren; Ergüt, Mahmut (Tamkang Univ, 2016)A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this ... -
Isotropic Smarandache Curves in the Complex 4-Space
Ergüt, Mahmut; Yılmaz, Suha; Ünlütürk, Yasin (Honam Mathematical Soc, 2018)We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache ... -
Motions of Curves in 4-Dimensional Galilean Space G4
Gün Bozok, Hülya; Sepet, Sezin Aykurt; Ergüt, Mahmut (World Scientific Publ Co Pte Ltd, 2021)In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant ... -
New Approach for Mannheim Curves in Terms of Inextensible Flows in E-3
Korpinar, Talat; Ergüt, Mahmut (Editura Bibliotheca-Bibliotheca Publ House, 2017)In this work, we study the properties of the Mannheim curves in terms of inextensible flows in E-3. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for ... -
New Classification Results on Surfaces with a Canonical Principal Direction in the Minkowski 3-space
Kelleci, Alev; Ergüt, Mahmut; Turgay, Nurettin Cenk (Univ Nis, Fac Sci Math, 2017)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 the Minkowski 3-space. -
New results on helix surfaces in the Minkowski 3-space
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Int Electronic Journal Geometry, 2019)In this paper, we characterize and classify helix surfaces with principal direction relatived to a space-like and light-like, constant direction in the Minkowski 3-space. -
On Generalized Constant Ratio Surfaces of Higher Codimension
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Springer Basel Ag, 2019)In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. ... -
ON SPACE-LIKE GENERALIZED CONSTANT RATIO HYPERSUFACES IN MINKOWSKI SPACES
Kelleci Akbay, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Inst Applied Mathematics, 2022)In this work, we move the study of generalized constant ratio hypersurfaces started in [6] into the Minkowski space. First, we get some geometrical properties of a non-degenerated GCR hypersurface in an arbitrary dimensional ... -
On surfaces endowed with a canonical principal direction in Euclidean 4-spaces
Kelleci, Alev; Turgay, Nurettin Cenk; Ergüt, Mahmut (Scientific Technical Research Council Turkey-Tubitak, 2019)In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean ... -
Ortalama eğrilik tipi denklemleri sağlayan alt manifoldlar
Kara, Ayla Erdur (Tekirdağ Namık Kemal Üniversitesi, 2021)Diferensiyel geometride, sabit ortalama eğrilikli yüzeyler, ``aynı hacme sahip tüm kompakt yüzeyler arasında, en küçük alana sahip yüzeylerin bulunması'' olarak tanımlı olan izoperimetrik problemin çözümüdür. Minimal ... -
Pointwise Bi-Slant Submersions From Cosymplectic Manifolds
Sepet, Sezin Aykurt; Ergüt, Mahmut (2020)We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi- slant ... -
Pointwise slant submersions from almost product Riemannian manifolds
Sepet, Sezin Aykurt; Ergüt, Mahmut (Taru Publications, 2020)In this paper, we investigate pointwise slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We obtain some characterizations for such a submersion. Also we find curvature relations between ...