Search
Now showing items 1-10 of 15
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 ...
Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski Space E-1(4) with pointwise 1-Type Gauss map
(Springer, 2014-06)
In this paper, we consider a class of spacelike 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 ...
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 ...
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 ...
Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss map
(Wiley-V C H Verlag GMBH, 2017-11)
In this article, we study submanifolds in a pseudo-sphere with 2-type pseudo-spherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S-2(4) subset of E-2(5) with zero mean curvature ...
On submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic space
(Birkhauser Verlag AG, 2017-02)
In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in ...
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 ℍm-1 s (-1) ⊂ Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ...
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, ...
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 ...
Space-like surfaces in the Minkowski Space E-1(4) with pointwise 1-type Gauss maps
(Springer, 2019-06)
We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces ...
