Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Muhittin Evren"'
Autor:
Muhittin Evren Aydin
Publikováno v:
Examples and Counterexamples, Vol 5, Iss , Pp 100134- (2024)
In this paper, we give a main example indicating the ineffectiveness of the local fractional derivatives on the Riemann curvature tensor that is a common tool in calculating curvature of a Riemannian manifold. For this, first we introduce a general l
Externí odkaz:
https://doaj.org/article/c51befc63e8c4d899962af936cf03b0d
Autor:
Muhittin Evren
Publikováno v:
Mukaddime, Vol 14, Iss 1, Pp 169-175 (2023)
Son dönemin önemli isimlerinden filozof ve kültür kuramcısı Byung Chul Han, günümüz toplumu ile ilgili çözümlemeleri ve eleştirileriyle dikkat çekmektedir. Han, felsefe, iktidar, dijitalleşme, şiddet, özgürlük, şeffaflık, yorgunl
Externí odkaz:
https://doaj.org/article/95f9e05eaabd4339b14f3d2a476bb61e
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 4, Iss 4, Pp 136-146 (2021)
In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome. However, a non-trivial outcome is obtained when we modify the usual co
Externí odkaz:
https://doaj.org/article/edb805aa188d450caa690d957814cca3
Consider the Euclidean space $\mathbb{R}^3$ endowed with a canonical semi-symmetric non-metric connection determined by a vector field $\mathsf{C}\in\mathfrak{X}(\mathbb{R}^3)$. We study surfaces when the sectional curvature with respect to this conn
Externí odkaz:
http://arxiv.org/abs/2405.12831
In this paper, we study translation surfaces in the Euclidean space endowed with a canonical semi-symmetric non-metric connection. We completely classify the translation surfaces of constant sectional curvature with respect to this connection, provin
Externí odkaz:
http://arxiv.org/abs/2405.12825
In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition for the ambient space to admit such a vector field. Then we character
Externí odkaz:
http://arxiv.org/abs/2404.16788
Publikováno v:
Axioms, Vol 11, Iss 2, p 59 (2022)
We introduce the notion of a Pythagorean hypersurface immersed into an n+1-dimensional pseudo-Riemannian space form of constant sectional curvature c∈−1,0,1. By using this definition, we prove in Riemannian setting that if an isoparametric hypers
Externí odkaz:
https://doaj.org/article/5f829a1c75784a8bb5a062be41d8814d
Autor:
Muhittin Evren Aydin, Adela Mihai
Publikováno v:
Mathematics, Vol 8, Iss 3, p 444 (2020)
In the present note we introduce a Pythagorean-like formula for surfaces immersed into 3-dimensional space forms M 3 ( c ) of constant sectional curvature c = − 1 , 0 , 1 . More precisely, we consider a surface immersed into M 3 c satisfying I 2 +
Externí odkaz:
https://doaj.org/article/46fed4d24fbf420a9fbec9ecd1c3daed
In this paper, we give a full classification of the separable hypersurfaces of constant sectional curvature in the Euclidean $n$-space $\mathbb{R}^n$. In dimension $n=3$, this classification was solved by Hasanis and L\'opez [Manuscripta Math. 166, 4
Externí odkaz:
http://arxiv.org/abs/2309.06025
In this paper we study surfaces with minimal potential energy under gravitational forces, called singular minimal surfaces. We prove that a singular minimal ruled surface in a Euclidean $3-$space is cylindrical, in particular as an $\alpha-$catenary
Externí odkaz:
http://arxiv.org/abs/2308.05499