Results 31 to 40 of about 1,668 (62)

Geodesics and magnetic curves in the 4-dim almost Kähler model space F4

Complex Manifolds
We study geodesics and magnetic trajectories in the model space F4{{\rm{F}}}^{4}. The space F4{{\rm{F}}}^{4} is isometric to the 4-dim simply connected Riemannian 3-symmetric space due to Kowalski. We describe the solvable Lie group model of F4{{\rm{F}}}^
Erjavec Zlatko, Inoguchi Jun-ichi
doaj   +1 more source

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

Projectively induced rotation invariant K\"ahler metrics

, 2016
We classify K\"ahler-Einstein manifolds which admit a K\"ahler immersion into a finite dimensional complex projective space endowed with the Fubini-Study metric, whose codimention is not greater than 3 and whose metric is rotation invariant.Comment: 9 ...
Salis, Filippo
core   +1 more source

A geometric proof of the Karpelevich-Mostow's theorem

, 2007
In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit.
Di Scala, Antonio J., Olmos, Carlos
core   +1 more source

Levi-Civita connections of flag manifolds [PDF]

arXiv, 2005
For any flag manifold G/T we obtain an explicit expression of its Levi-Civita connection with respect to any invariant Riemannian metric.
arxiv  

Locally homogeneous $C^0$-Riemannian manifolds [PDF]

arXiv, 2020
We show that locally homogeneous $\mathcal{C}^0$-Riemannian manifolds are smooth.
arxiv  

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj   +1 more source

On the pseudohermitian sectional curvature of a strictly pseudoconvex CR manifold [PDF]

arXiv, 2006
We study the pseudohermitian sectional curvature of a CR manifold.
arxiv  

The adjoint variety of SL_{m+1}(C) is rigid to order three [PDF]

arXiv, 2006
I show that the adjoint variety of the complex special linear group is rigid to order three.
arxiv  

Klein geometries and stable nonlinear Spencer sequence [PDF]

arXiv, 2007
This paper has been withdrawn by the ...
arxiv