Results 31 to 40 of about 91 (40)
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Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space

, 2016
Communicated by Ivaïlo Mladenov Abstract. We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface. Then we give the Laplace-Beltrami
Erhan Güler, M. Magid, Y. Yaylı
semanticscholar   +1 more source

On the fundamental forms of the B-scroll with null directrix and Cartan frame in Minkowskian 3-space

, 2015
In this work we will study on Minkowskian 3−space, with null directrix and Cartan frame.In this paper, we investigate the first fundamental form, the second fundamental form of B-scroll with Cartan framed null directrix in the Minkowskian 3-space.
Ş. Kılıçoglu   +2 more
semanticscholar   +1 more source

Linear Weingarten rotational surfaces in pseudo-Galilean 3-space

, 2015
In the present paper, we study rotational surfaces in the three dimensional pseudo-Galilean space G3. Also, we classify linear Weingarten rotational surfaces in G3.
Chul Woo Lee
semanticscholar   +1 more source

On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3−Space

, 2007
In this study, we have generalized the involute and evolute curves of the spacelike curve α with a spacelike binormal in Minkowski 3- Space. Firstly, we have shown that, the length between the spacelike curve α and the timelike curve β is constant ...
Bahaddin Bukcu   +5 more
semanticscholar   +1 more source

On rotational surfaces in conformally flat 3-space

, 2016
In this paper, we deal with linear Weingarten rotational surfaces in a conformally flat 3-space F3 satisfying κ̃1 = mκ̃2, where κ̃1 and κ̃2 are the principal curvatures of a rotational surface in F3 and m is a non-zero constant.
D. Yoon
semanticscholar   +1 more source

Singular Points of Tubular Surfaces in Minkowski 3-Space

Sarajevo Journal of Mathematics
In this paper, we examine singular points of tubular surfaces and its parallel surfaces, which is based on two-parameter spatial motion along a curve in Minkowski 3-space. Related results are presented also.
M. K. Karacan, Y. Yaylı
semanticscholar   +1 more source

On the Gauss map of tubular surfaces in Galilean 3-space

, 2014
In the present paper, we study tubular surfaces in Galilean 3-space G3. Also, we classify tubular surfaces in terms of an isometric immersion and the Gauss map of the surface.
D. Yoon
semanticscholar   +1 more source

The Lie derivative and the exterior derivative connecting with linear connection on algebra

, 2014
The aim of this work is to study some properties of the Lie derivative and the exterior derivative connecting with the linear connection on the algebra.
N. H. Quang, Bui Cao Van, Dang Thi Tuoi
semanticscholar   +1 more source

Characterizations of timelike curves according to the Bishop Darboux vector in Minkowski 3-space E_1^3

, 2013
In this paper, we obtained some characterizations o f timelike curves according to Bihop frame in Minkowski 3-space 3 1 E by using Laplacian operator and Levi-Civita connection.
H. Kocayiğit   +3 more
semanticscholar   +1 more source

ATTACHING HANDLES TO CONSTANT-MEAN-CURVATURE-1 SURFACES IN HYPERBOLIC 3-SPACE

Journal of the Institute of Mathematics of Jussieu, 2004
F. Pacard, Fernando A. A. Pimentel
semanticscholar   +1 more source

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