Results 21 to 30 of about 648 (70)

Geodesic Flow on the Normal Congruence of a Minimal Surface

, 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, B. Guilfoyle, B. Guilfoyle, J. Moser, M.A. Guest, N.J. Hitchin, S. Tabachnikov, V. Arnold   +7 more
core   +2 more sources

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

, 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

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

, 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

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

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

, 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

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

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

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

Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space

, 2015
In the present paper, Smarandache curves for some special curves in the three- dimensional Galilean space G 3 are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced.
H. Abdelaziz, Prof. M. Khalifa Saad
semanticscholar   +1 more source