Results 21 to 30 of about 532 (44)
Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds
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
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Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]
Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form.
Teofilova, Marta
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Geometric structures on the tangent bundle of the Einstein spacetime [PDF]
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
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The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appearing in a description of the curve.
Olszak, Zbigniew
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On global geodesic mappings of $n$-dimensional surfaces of revolution
In this paper we study geodesic mappings of $n$-dimensional surfaces of revolution. From the general theory of geodesic mappings of equidistant spaces we specialize to surfaces of revolution and apply the obtained formulas to the case of rotational ...
Hinterleitner, Irena
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Simple conformally recurrent space-times are conformally recurrent PP-waves
We show that in dimension n>3 the class of simple conformally recurrent space-times coincides with the class of conformally recurrent pp-waves.Comment: Dedicated to the memory of professor Witold ...
Mantica, Carlo Alberto+1 more
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Lamarle Formula in 3-Dimensional Lorentz Space [PDF]
The Lamarle Formula, given by Kruppa in \cite{Kr}, is known as a relationship between the Gaussian curvature and the distribution parameter of a ruled surface in the surface theory. The ruled surfaces were investigated in 3 different classes with respect
Ersoy, Soley, Tosun, Murat
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The exponential map of a $C^{1,1}$-metric
Given a pseudo-Riemannian metric of regularity $C^{1,1}$ on a smooth manifold, we prove that the corresponding exponential map is a bi-Lipschitz homeomorphism locally around any point. We also establish the existence of totally normal neighborhoods in an
Kunzinger, Michael+2 more
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Isophote curves on timelike surfaces in Minkowski 3-space
Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in Minkowski 3-space E31.
Ali+25 more
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On tangent bundles of Walker four-manifolds
The aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts JC{J}^{C} of the proper almost complex structure ...
Çayir Haşim+2 more
doaj +1 more source