Yazar "Aydın, Muhittin Evren" 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 ... -
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 ... -
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 ... -
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 ... -
Singular minimal translation graphs in euclidean spaces
Aydın, Muhittin Evren; Erdur, A.; Ergüt, Mahmut (Korean Mathematical Society, 2021)In this paper, we consider the problem of finding the hypersurface Mn in the Euclidean (n + 1)-space Rn+1 that satisfies an equation of mean curvature type, called singular minimal hypersurface equation. Such an equation ... -
Singular Minimal TranslationSurfaces in Euclidean Spaces Endowed with Semi-symmetric Connections
In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension $3$ endowed with a certain semi-symmetric (non-)metric connection.