Results 21 to 30 of about 528 (40)

A note about the torsion of null curves in the $3$-dimensional Minkowski spacetime and the Schwarzian derivative

open access: yes, 2015
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
core   +1 more source

Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]

open access: yes, 2010
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
core   +2 more sources

The exponential map of a $C^{1,1}$-metric

open access: yes, 2014
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
core   +1 more source

On tangent bundles of Walker four-manifolds

open access: yesOpen Mathematics
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

Isophote curves on timelike surfaces in Minkowski 3-space

open access: yes, 2012
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
core   +1 more source

Lamarle Formula in 3-Dimensional Lorentz Space [PDF]

open access: yes, 2010
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
core   +2 more sources

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

open access: yesAnn Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

open access: yesAnn Mat Pura Appl, 2023
Branding V   +3 more
europepmc   +1 more source

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