Results 31 to 40 of about 1,212,618 (337)

On generic homogeneous vector fields

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
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

Finite Homogeneous Spaces

open access: yesRocky Mountain Journal of Mathematics, 1997
The authors prove that on a set with \(n>0\) elements there are up to homeomorphism \(\tau(n)\) homogeneous topologies. Here \(\tau(n)\) is the number of positive divisors of \(n\). They also prove that if \(X\) is finite and \(\tau\) is a connected homogeneous topology on \(X\) then \(\tau = \{\emptyset,X\}\).
Fora, Ali, Al-Bsoul, Adnan
openaire   +2 more sources

On the Volume in Homogeneous Spaces [PDF]

open access: yesNagoya Mathematical Journal, 1959
Guldin-Pappus’s theorem about the volume of a solid of rotation in the euclidean space has been generalized in two ways. G. Koenigs [1] and J. Hadamard [2] proved that the volume generated by a 1-parametric motion of a surface D bounded by a closed curve c is equal to where are quantities attached to D with respect to a rectangular coordinate system ...
openaire   +2 more sources

Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3

open access: yes, 2005
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.Comment: 7 pages, Latex2e, a small note and a reference ...
Ambrose   +7 more
core   +3 more sources

Modification and the cohomology groups of compact solvmanifolds Ⅱ

open access: yesElectronic Research Archive
In this article, we refine the modification theorem for a compact solvmanifold given in 2006 and completely solve the problem of finding the cohomology ring on compact solvmanifolds.
Daniel Guan
doaj   +1 more source

Sphere and projective space of a C*-algebra with a faithful state

open access: yesDemonstratio Mathematica, 2019
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

On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space

open access: yesMathematics, 2023
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

A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds

open access: yesMathematics
In this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
doaj   +1 more source

Harmonic analysis on a finite homogeneous space

open access: yes, 2007
In this paper, we study harmonic analysis on finite homogeneous spaces whose associated permutation representation decomposes with multiplicity. After a careful look at Frobenius reciprocity and transitivity of induction, and the introduction of three ...
Scarabotti, Fabio, Tolli, Filippo
core   +1 more source

Hypersurface homogeneous Killing spinor space-times [PDF]

open access: yes, 2014
I present a complete list of hypersurface homogeneous space-times admitting a non-null valence two Killing spinor, including a new class admitting only exceptional Killing tensors.
Bergh, Norbert Van den
core   +2 more sources

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