Zobrazeno 1 - 10
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pro vyhledávání: '"Aydin, Muhittin Evren"'
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
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
In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, w
Externí odkaz:
http://arxiv.org/abs/2307.16782
Autor:
Aydin, Muhittin Evren
In this short note, we investigate the effect 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 local fractional derivat
Externí odkaz:
http://arxiv.org/abs/2211.13538
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2025 542(2)
Autor:
Aydin, Muhittin Evren, López, Rafael
A spacelike surface in Minkowski space $\mathbb{R}_1^3$ is called a $K^\alpha$-translator of the flow by the powers of Gauss curvature if satisfies $K^\alpha= \langle N,\vec{v}\rangle$, $\alpha \neq 0$, where $K$ is the Gauss curvature, $N$ is the un
Externí odkaz:
http://arxiv.org/abs/2202.06131
Autor:
Aydin, Muhittin Evren, López, Rafael
A $K^\alpha$-translator is a surface in Euclidean space $\r^3$ that moves by translations in a spatial direction and under the $K^\alpha$-flow, where $K$ is the Gauss curvature and $\alpha$ is a constant. We classify all $K^\alpha$-translators that a
Externí odkaz:
http://arxiv.org/abs/2201.05347