Displaying 621 – 640 of 704

Showing per page

Transitive conformal holonomy groups

Jesse Alt (2012)

Open Mathematics

For (M, [g]) a conformal manifold of signature (p, q) and dimension at least three, the conformal holonomy group Hol(M, [g]) ⊂ O(p + 1, q + 1) is an invariant induced by the canonical Cartan geometry of (M, [g]). We give a description of all possible connected conformal holonomy groups which act transitively on the Möbius sphere S p,q, the homogeneous model space for conformal structures of signature (p, q). The main part of this description is a list of all such groups which also act irreducibly...

Transitive riemannian isometry groups with nilpotent radicals

C. Gordon (1981)

Annales de l'institut Fourier

Given that a connected Lie group G with nilpotent radical acts transitively by isometries on a connected Riemannian manifold M , the structure of the full connected isometry group A of M and the imbedding of G in A are described. In particular, if G equals its derived subgroup and its Levi factors are of noncompact type, then G is normal in A . In the special case of a simply transitive action of G on M , a transitive normal subgroup G ' of A is constructed with dim G ' = dim G and a sufficient condition is given...

Translation foliations of codimension one on compact affine manifolds

Francisco Turiel (1997)

Banach Center Publications

Consider two foliations 1 and 2 , of dimension one and codimension one respectively, on a compact connected affine manifold ( M , ) . Suppose that T 1 T 2 T 2 ; T 2 T 1 T 1 and T M = T 1 T 2 . In this paper we show that either 2 is given by a fibration over S 1 , and then 1 has a great degree of freedom, or the trace of 1 is given by a few number of types of curves which are completely described. Moreover we prove that 2 has a transverse affine structure.

Translation surfaces of finite type in Sol 3

Bendehiba Senoussi, Hassan Al-Zoubi (2020)

Commentationes Mathematicae Universitatis Carolinae

In the homogeneous space Sol 3 , a translation surface is parametrized by r ( s , t ) = γ 1 ( s ) * γ 2 ( t ) , where γ 1 and γ 2 are curves contained in coordinate planes. In this article, we study translation invariant surfaces in Sol 3 , which has finite type immersion.

Transport de mesure et courbures de Ricci synthétiques dans le groupe de Heisenberg

Nicolas Juillet (2006/2007)

Séminaire de théorie spectrale et géométrie

Dans ces notes il sera expliqué que la propriété M C P ( 0 , 5 ) est vérifiée par le groupe de Heisenberg 1 muni de la distance de Carnot-Carathéodory et de la mesure de Lebesgue. Cette propriété correspond pour les espaces métriques mesurés à une courbure de Ricci positive. Comme application, les mesures interpolées par transport de mesure sont absolument continues. En revanche, la courbure-dimension C D ( 0 , N ) , une autre courbure de Ricci synthétique adaptée aux espaces métriques mesurés est fausse pour 1 .

Currently displaying 621 – 640 of 704