Results 11 to 20 of about 528 (40)

Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space

open access: yesNonlinear Engineering, 2017
In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
doaj   +1 more source

Kähler metrics via Lorentzian Geometry in dimension four

open access: yesComplex Manifolds, 2019
Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
doaj   +1 more source

Local classification and examples of an important class of paracontact metric manifolds [PDF]

open access: yes, 2014
We study paracontact metric $(\kappa,\mu)$-spaces with $\kappa=-1$, equivalent to $h^2=0$ but not $h=0$. In particular, we will give an alternative proof of Theorem 3.2 of [11] and present examples of paracontact metric $(-1,2)$-spaces and $(-1,0 ...
Martín-Molina, Verónica
core   +3 more sources

Special Einstein's equations on K\"ahler manifolds [PDF]

open access: yes, 2010
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds according to special properties of the energy-momentum tensor to K\"ahler ...
Hinterleitner, I., Kiosak, V.
core   +3 more sources

Examples of naturally reductive pseudo-Riemannian Lie groups

open access: yes, 2011
We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group $(N, _N)$, such that $_N$ is invariant under a left action and for which the center is ...
Ovando, Gabriela P.
core   +1 more source

On a Class Almost Contact Manifolds with Norden Metric [PDF]

open access: yes, 2010
Certain curvature properties and scalar invariants of the manifolds belonging to one of the main classes almost contact manifolds with Norden metric are considered.
Teofilova, Marta
core   +2 more sources

Compact spacelike surfaces in the 3-dimensional de Sitter space [PDF]

open access: yes, 2005
We state several sufficient conditions for compact spacelike surface in the3-dimensional de Sitter space to be totally geodesic or spherical.Comment: 4 ...
Borisenko, Alexander
core   +2 more sources

Geodesic Flow on the Normal Congruence of a Minimal Surface

open access: yes, 2006
We study the geodesic flow on the normal line congruence of a minimal surface in ${\Bbb{R}}^3$ induced by the neutral K\"ahler metric on the space of oriented lines.
A. Reznikov   +7 more
core   +2 more sources

Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds

open access: yes, 2017
We consider a discrete dynamical system on a pseudo-Riemannian manifold and we determine the concept of a hyperbolic set for it. We insert a condition in the definition of a hyperbolic set which implies to the unique decomposition of a part of tangent ...
Molaei, MohammadReza
core   +1 more source

Geometric structures on the tangent bundle of the Einstein spacetime [PDF]

open access: yes, 2005
We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein ...
Janyška, Josef
core   +2 more sources

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