Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Muhittin Evren Aydın"'
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
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
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 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
Autor:
Muhittin Evren AYDIN, Mahmut ERGÜT
Publikováno v:
Romanian Journal of Mathematics and Computer Science, Vol 4, Iss 1, Pp 81-90 (2014)
In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3. Next, we derive certain results for non-null general helices and pseudospherical cur
Externí odkaz:
https://doaj.org/article/4200d6a460f24dbd874c10fecfe914eb
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space G31. We classify such surfaces with null curvature and characterize some special curves on these surfaces in G31.
Externí odkaz:
https://doaj.org/article/41a9b7822f124b819728cb269ae8dbc2