Results 31 to 40 of about 2,119 (92)

Real hypersurfaces of indefinite Kaehler manifolds

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 545-556, 1993.
A. Bejancu, K. L. Duggal
wiley   +1 more source

A note on the existence of standard splittings for conformally stationary spacetimes

, 2012
Let $(M,g)$ be a spacetime which admits a complete timelike conformal Killing vector field $K$. We prove that $(M,g)$ splits globally as a standard conformastationary spacetime with respect to $K$ if and only if $(M,g)$ is distinguishing (and, thus ...
Beem J K, Bernal A N, Caponio E Javaloyes M A, Caponio E Javaloyes M A Masiello A, Harris S G, Miguel Angel Javaloyes, Miguel Sánchez, O'Neill B, Penrose R, Sachs R K, Sanchez M, Sánchez M   +11 more
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

A note on the uniqueness of global static decompositions

, 2007
We discuss when static Killing vector fields are standard, that is, leading to a global orthogonal splitting of the spacetime. We prove that such an orthogonal splitting is unique whenever the natural space is compact. This is carried out by proving that
Bartnik R, Beem J K, Chruściel P, Garfinkle D, Harris S G, José M M Senovilla, Mars M, Miguel Sánchez, O'Neill B, Sachs R, Stephani H   +10 more
core   +1 more source

Helices in the n-dimensional Minkowski spacetime

Results in Physics, 2019
In this work, we find position vectors of non-null helices in the n-dimensional Minkowski spacetime. We present methods to generate helices from polynomial curves.
Bulent Altunkaya
doaj  

Classification of Einstein Lorentzian 3-nilpotent Lie groups with 1-dimensional nondegenerate center [PDF]

arXiv, 2020
We give a complete classification of Einstein Lorentzian 3-nilpotent simply connected Lie groups with 1-dimensional nondegenerate center.
arxiv  

On Lie groups as quasi-Kähler manifolds with Killing Norden metric [PDF]

Adv. Geom. 8 (2008), 343-352, 2007
A 6-parametric family of 6--dimensional quasi-K\"ahler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically.
arxiv   +1 more source

The type N Karlhede bound is sharp

, 2007
We present a family of four-dimensional Lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor.
Boeckx E, Cartan E, Collins J M, MacCallum M A H, Machado Ramos M P, Machado Ramos M P, Milson R Pelavas N, N Pelavas, Ozsváth I, Paiva F M Skea J E F, Pollney D, R Milson, Skea J F, Åman J E   +13 more
core   +1 more source

Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we construct a helicoidal surface of type I+ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space ℝ13${\Bbb R}_1^3$with a positive density function. We get a result for minimal case.
Yıldız Önder Gökmen, Hızal Selman, Akyiğit Mahmut   +2 more
doaj   +1 more source

Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$ [PDF]

Geom. Ded. 126, 1 (2007) 71--129, 2004
We prove that any maximal globally hyperbolic spacetime locally modelled on the anti-de Sitter space of dimension 3, and admitting a closed Cauchy surface, admits a time function $\tau$, such that every fiber $\tau^{-1}(t)$ is a spacelike surface with constant mean curvature $t$.
arxiv