Results 11 to 20 of about 547 (42)
On the vertical bundle of a pseudo‐Finsler manifold
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 637-642, 1999., 1999 We define the Liouville distribution on the tangent bundle of a pseudo‐Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Aurel Bejancu, Hani Reda Farran
wiley +1 more source
Survey on real forms of the complex A2(2)-Toda equation and surface theory
Complex Manifolds, 2019 The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop ...
Dorfmeister Josef F. +3 more
doaj +1 more source
Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
Open Mathematics, 2018 This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso +2 more
doaj +1 more source
Kähler metrics via Lorentzian Geometry in dimension four
Complex 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]
, 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
Examples of naturally reductive pseudo-Riemannian Lie groups
, 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
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 +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
, 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
On global geodesic mappings of $n$-dimensional surfaces of revolution
, 2011 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
core +1 more source