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Transgression and Clifford algebras

Rudolf Philippe Rohr (2009)

Annales de l’institut Fourier

Let W be a differential (not necessarily commutative) algebra which carries a free action of a polynomial algebra S P with homogeneous generators p 1 , , p r . We show that for W acyclic, the cohomology of the quotient H ( W / < p ...

Transitive flows on manifolds.

Víctor Jiménez López, Gabriel Soler López (2004)

Revista Matemática Iberoamericana

In this paper we characterize manifolds (topological or smooth, compact or not, with or without boundary) which admit flows having a dense orbit (such manifolds and flows are called transitive) thus fully answering some questions by Smith and Thomas. Name

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...

Transverse Hausdorff dimension of codim-1 C2-foliations

Takashi Inaba, Paweł Walczak (1996)

Fundamenta Mathematicae

The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.

Transversely homogeneous foliations

Robert A. Blumenthal (1979)

Annales de l'institut Fourier

A foliation of a manifold is transversely homogeneous if it can be defined by local submersions to a homogeneous space G / K which on overlaps differ by translations. We explore the topology and geometry of such foliations and give a structure theorem for the case when K is compact. We investigate the relationship between the structure equations of G and the normal bundle of the foliation and provide a differential forms characterization of a large class of homogeneous foliations. As a special case,...

Currently displaying 501 – 520 of 558