Results 21 to 30 of about 5,503,643 (268)
Previously, the author obtained an analytical solution for determining the vertical displacements of the homogeneous isotropic quarter-space face, which is affected by a vertical concentrated force.
S. V. Bosakov
doaj +1 more source
On generic homogeneous vector fields
Background. The study of dynamical systems with symmetry is of both theoretical and applied interest. Phase portraits of dynamical systems defined by homogeneous vector fields are invariant with respect to the phase space dilation group.
V.Sh. Roytenberg
doaj +1 more source
On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change.
Yanlin Li+3 more
doaj +1 more source
Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
doaj +1 more source
Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3 [PDF]
We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is either a (locally) symmetric space or a singular homogeneous plane wave.
arxiv +1 more source
Generalized Ricci solitons on homogeneous Siklos space-times [PDF]
In this paper, the class of homogeneous Siklos space-times is considered from algebraic point of view and the generalized Ricci solitons are completely classified.
Amirhesam Zaeim+2 more
doaj +1 more source
Some geometrical properties of 4D homogeneous pseudo-Riemannian space with trivial isotropy [PDF]
In this paper, we first consider $4D$ conformally flat homogeneous pseudo-Riemannian space with trivial isotropy, then, we investigate some geometrical properties such as being Ricci solitons and Walker on the spaces under consideration.
Yadollah Aryanejad
doaj +1 more source
On (strongly) ($Θ$-)discrete homogeneous spaces [PDF]
We introduce the classes of (strongly) ($\Theta$-)discrete homogeneous spaces. We discuss the relationships of these classes to other classes of spaces possessing homogeneity-related properties, such as (strongly) ($n$-)homogeneous spaces. Many examples are given distinguishing discrete homogeneity and other types of homogeneity.
arxiv
On the Existence of Homogeneous Geodesics in Homogeneous Kropina Spaces [PDF]
Recently, it is shown that each regular homogeneous Finsler space $M$ admits at least one homogeneous geodesic through any point $o\in M$. The purpose of this article is to study the existence of homogeneous geodesics on singular homogeneous $(\alpha,\beta)$-spaces, specially, homogeneous Kropina spaces.
arxiv +1 more source
Sphere and projective space of a C*-algebra with a faithful state
Let 𝒜 be a unital C*-algebra with a faithful state ϕ. We study the geometry of the unit sphere 𝕊ϕ = {x ∈ 𝒜 : ϕ(x*x) = 1} and the projective space ℙϕ = 𝕊ϕ/𝕋.
Antunez Andrea C.
doaj +1 more source