Results 21 to 30 of about 544 (41)

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

, 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, Steinbauer, Roland, Stojkovic, Milena   +2 more
core   +1 more source

Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds

, 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

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

, 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

On tangent bundles of Walker four-manifolds

Open 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, Güler Erkan, Köseoğlu Gökhan   +2 more
doaj   +1 more source

Isophote curves on timelike surfaces in Minkowski 3-space

, 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, Ali, Dillen, Dillen, Dillen, Dillen, Doğan, Doğan, Doğan, Doğan, Izumiya, Izumiya, Johannes Kepler, Johannes Kepler, Kim, Kim, Kühnel, Kühnel, Neill, Neill, Nistor, Nistor, Poeschl, Poeschl, Ratcliffe, Ratcliffe   +25 more
core   +1 more source

Lamarle Formula in 3-Dimensional Lorentz Space [PDF]

, 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]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

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

Ann Mat Pura Appl, 2023
Branding V, Montaldo S, Oniciuc C, Ratto A.   +3 more
europepmc   +1 more source

The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]

Jahresber Dtsch Math Ver, 2023
Steinbauer R.
europepmc   +1 more source

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds. [PDF]

J Lond Math Soc, 2023
Beran T, Sämann C.
europepmc   +1 more source