Now showing items 1-20 of 23

• #### Canal surfaces in 4-dimensional euclidean space ﻿

In this paper, we study canal surfaces imbedded in 4-dimensional EuclideanspaceE4. We investigate these surface curvature properties with respect to thevariation of the normal vectors and ellipse of curvature. Some special ...
• #### Coordinate finite type rotational surfaces in euclidean spaces ﻿

Submanifolds of coordinate finite-type were introduced in . A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Delta. In the present study ...
• #### Focal representation of k-slant helices in Em+1 ﻿

(De Gruyter Poland Sp Zoo, 2015)
The focal representation of a generic regular curve gamma in Em+1 consists of the centers of the osculating hyperplanes. A k-slant helix gamma in Em+1 is a (generic) regular curve whose unit normal vector V-k makes a ...
• #### Generalized rotation surfaces in E^4 ﻿

In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in . Further, the curvature properties of these surfaces ...
• #### k-Tipinde eğriler ve altmanifoldlar ﻿

(Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 1997)
Bu çalışmada, çarpım altmanifoldlar ve onların tipleri gözönüne alınmıştır. Bazı yüzeylerin Riemann çarpımı alınarak elde edilen yüzeylerin (veya manifoldların) tipleri belirlenmiştir. Bazı yüzeyler birim çember etrafında ...
• #### On a class of surfaces in the Euclidean space ﻿

In this study we consider surfaces in the Euclidean space E2+d satisfying the conditions Undefined control sequence \centerdot h = LhQ(g,h) and Undefined control sequence \centerdot h = LAHQ^(AH,h).
• #### On canal surfaces in 3 ﻿

In this paper we deal with the geometric properties of canal surfaces in \$Bbb{E}^ 3\$. Further, the first and second fundamental form of canal surfaces are presented. By the use of the second fundamental form, the Gaussian ...
• #### On generalized spherical surfaces in euclidean spaces ﻿

(Honam Mathematical Soc, 2017)
In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean (n + 1) space En+1. Further, we introduce some kind of generalized ...
• #### On semiparallel and weyl-semiparallel hypersurfaces of kaehler manifolds ﻿

(Kyungpook National University, 2009)
We study on semiparallel and Weyl semiparallel Sasakian hypersurfaces of Kaehler manifolds. We prove that a (2n + 1)-dimensional Sasakian hypersurface M of a (2n+2)-dimensional Kaehler manifold M2n+2 is semiparallel if and ...
• #### On some class of hypersurfaces in double-struck E signn+1 satisfying Chen's equality ﻿

In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space n+1 satisfying B. Y. Chen's equality.
• #### On Some Class of Hypersurfaces in En+1 Satisfying Chen’s Equality ﻿

In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space E n+1 satisfying B. Y. Chen’s equality
• #### On spherical product surfaces in E3 ﻿

In the present study we consider spherical product surfaces X = α⊗β of two 2D curves in E3. We prove that if a spherical product surface patch X = α⊗β has vanishing Gaussian curvature K (i.e. a flat surface) then either α ...
• #### On the solution of the monge-ampere equation z(xx)z(yy)-z(xy)(2)=f(x, y) with quadratic right side ﻿

(B Verkin Inst Low Temperature Physics & Engineering, 2011)
For the Monge-Ampere equation Z(xx)Z(yy) - Z(xy)(2) = b(20)(x2)+b(11).xy+b(02y)(2)+ b(00) we consider the question on the existence of a solution Z(x, y) in the class of polynomials such that Z = Z(x, y) is a graph of a ...
• #### On translation surfaces in 4-dimensional Euclidean space ﻿

We consider translation surfaces in Euclidean spaces. Firstly, we give some results of translation surfaces in the 3-dimensional Euclidean space E-3. Further, we consider translation surfaces in the 4-dimensional Euclidean ...
• #### On tzitzeica curves in euclidean 3-space e-3 ﻿

In this study, we consider Tzitzeica curves (Tz-curves) in a Euclidean 3-space E-3. We characterize such curves according to their curvatures. We show that there is no Tz-curve with constant curvatures (W-curves). We ...
• #### Recurrent immersions ﻿

In this paper we consider the relations between immersions of recurrent type with the immersions having certain planar properties. Namely, we investigate the weak recurrent immersions
• #### Rotational embeddings in \$Bbb{E}^4\$ with pointwise 1-type gauss map ﻿

In the present article we study the rotational embedded surfaces in \$Bbb{E}^4\$ . The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in \$Bbb{E}^4\$ . The Otsuki (non-round) sphere ...
• #### Rotational embeddings in E-4 with pointwise 1-type gauss map ﻿

(Scientific Technical Research Councıl Turkey-Tubitak, 2011)
In the present article we study the rotational embedded surfaces in E-4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E-4. The Otsuki (non-round) sphere in E-4 is one ...
• #### Rotational submanifolds in Euclidean spaces ﻿

(World Scientific Publ CO PTE LTD, 2019)
The rotational embedded submanifold was first studied by Kuiper as a submanifold in En+d The generalized Beltrami submanifolds and toroidal submanifold are the special examples of these kind of submanifolds. In this paper, ...
• #### Spherical product surfaces in e-4 ﻿

In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E-4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the ...