Ara
Toplam kayıt 15, listelenen: 1-10
Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
(Mathematical Society of The Repulic Of China, 2016-12)
In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose ...
Rotational Weingarten surfaces in hyperbolic 3-space
(Birkhauser, 2020-04-01)
We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures ? and ? satisfying a certain functional relation ?= F(?) for a given continuous function F. We determine profile curves ...
Minimal rotational surfaces in the product space Q(?)(2) X S-1
(World Scientific Publ Co Pte Ltd, 2018-07-01)
In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2)epsilon denotes either the unit 2-sphere S-2 or the 2-dimensional hyperbolic space H-2 of constant curvature 1, according ...
On spacelike rotational surfaces with pointwise 1-type gauss map
(Korean Mathematical Soc, 2015-01)
In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-spade E-1(4) with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces ...
Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map
(Birkhauser Verlag AG, 2016-05-28)
In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, ...
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
(B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)
In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ?m-1 s (-1) ? Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ...
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
(Birkhauser, 2021-06)
In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is ...
Hyperbolic submanifolds with finite type hyperbolic Gauss map
(World Scientific Publishing Co. Pte Ltd, 2015-02)
We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface M-n ...
Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in minkowski space E-1(4) with pointwise 1-type gauss map
(University of Nis, 2015)
In this work, we focus on a class of timelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of ...
Slant curves in the Lorentzian warped product manifold - I× fE²
(Birkhauser, 2022-03-15)
In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I? R is an open interval equipped with the metric dt², and f is a positive smooth ...