Zobrazeno 1 - 10
of 42
pro vyhledávání: '"53C30, 53C50"'
Publikováno v:
Transformation Groups (2024)
We construct indefinite Einstein solvmanifolds that are standard, but not of pseudo-Iwasawa type. Thus, the underlying Lie algebras take the form $\mathfrak{g}\rtimes_D\mathbb{R}$, where $\mathfrak{g}$ is a nilpotent Lie algebra and $D$ is a nonsymme
Externí odkaz:
http://arxiv.org/abs/2312.03125
Autor:
Chéritat, Arnaud, Tahar, Guillaume
For a smooth manifold endowed with a (similarity) pseudo-Euclidean structure, a stiff connection $\nabla$ is a symmetric affine connection such that geodesics of $\nabla$ are straight lines of the pseudo-Euclidean structure while the first-order infi
Externí odkaz:
http://arxiv.org/abs/2302.12543
This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic setting. We study the real Lie group $\mathrm{SL}(2, \mathbb{R})$ and reo
Externí odkaz:
http://arxiv.org/abs/2208.10873
Publikováno v:
Annals of Global Analysis and Geometry (2023) 63:25
The aim of this paper is to construct left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups. We consider the class of $\mathfrak z$-standard Sasaki solvable Lie algebras of dimension $2n+3$, which are in one-to-one correspon
Externí odkaz:
http://arxiv.org/abs/2206.13825
We proved in previous work that all real nilpotent Lie algebras of dimension up to $10$ carrying an ad-invariant metric are nice. In this paper we show by constructing explicit examples that nonnice irreducible nilpotent Lie algebras admitting an ad-
Externí odkaz:
http://arxiv.org/abs/2111.11274
Autor:
Albujer, Alma L., Santos, Fábio R. dos
In this manuscript we consider non-degenerate surfaces $\Sigma^2$ immersed in a 3-dimensional homogeneous space $\mathbb{L}^3(\kappa,\tau)$ endowed with two different metrics, the one induced by the Riemannian metric of $\mathbb{E}^3(\kappa,\tau)$ an
Externí odkaz:
http://arxiv.org/abs/2108.06823
Autor:
Bochenski, Maciej, Tralle, Aleksy
Publikováno v:
Journal of Geometry and Physics 155(2020), art. no. 103778
We ask a general question: what are locally homogeneous compact pseudo-Riemannian Einstein manifolds? We show that any standard compact Clifford-Klein form of a simple non-compact Lie group admits at least one Einstein metric. We conjecture that thes
Externí odkaz:
http://arxiv.org/abs/2006.04195
Autor:
Draper, Cristina
For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this
Externí odkaz:
http://arxiv.org/abs/1909.00128
In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected closed Lie subgroups of $U(1,n)$ on the $(2n+1)$-dimensional anti de Sitter spacetime $AdS^{2n+1}$. We also give some new examples of nonproper cohomogeneity o
Externí odkaz:
http://arxiv.org/abs/1609.05644
Publikováno v:
Transformation Groups (2019) 24, 659
We study spin structures on compact simply-connected homogeneous pseudo-Riemannian manifolds (M = G/H, g) of a compact semisimple Lie group G. We classify flag manifolds F = G/H of a compact simple Lie group which are spin. This yields also the class
Externí odkaz:
http://arxiv.org/abs/1602.07968