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

