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
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Non-rigidity of spherical inversive distance circle packings [PDF]
, 2011 We give a counterexample of Bowers-Stephenson's conjecture in the spherical case: spherical inversive distance circle packings are not determined by their inversive distances.Comment: 6 pages, one ...
A.V. Pogorelov +9 more
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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
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Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
, 2017 In this paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type.
V. Berezovski, S. Bácsó, J. Mikeš
semanticscholar +1 more source
Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space
Nonlinear Engineering, 2017 In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
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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
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Special Einstein's equations on K\"ahler manifolds [PDF]
, 2010 This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds according to special properties of the energy-momentum tensor to K\"ahler ...
Hinterleitner, I., Kiosak, V.
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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.
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On holomorphically projective mappings of parabolic K\"ahler manifolds
, 2017 In this paper we study fundamental equations of holomorphically projective mappings of parabolic Kähler spaces (which are generalized classical, pseudoand hyperbolic Kähler spaces) with respect to the smoothness class of metrics.
P. Peška, J. Mikeš, H. Chud, M. Shiha
semanticscholar +1 more source
Conformal holomorphically projective mappings satisfying a certain initial condition
, 2013 In this paper we study conformal holomorphically projective mappings between conformal e-Kähler manifolds Kn=.M; g; F / and N Kn=. N M; N g; N F /, i. e. diffeomorphisms f : M ! N M satisfying f D f1 f2 f3, where f1; f3 are conformal mappings and f2 is a
H. Chudá, M. Shiha
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