Infinitesimal Blaschke conjectures on projective spaces

We deduce that for G an infinite definably compact group definable in an o-minimal expansion of a field, G 00 is bi- interpretable with the disjoint union of a (possibly trivial)

G where a runs through (A, v) is called disjoint if the family of the spectral measures 03BC03B1 of Ua is disjoint (with respect to the given Borel.. measure v

By the classification theory of compact connected Lie groups there are only a finite number in each dimension.. In these references

According to the idea of a paper [20], one can construct irreducible nonlocal representations of the group of measurable G-valued func- tions on X, G being a Lie

Let (M, J) be a compact, connected almost complex manifold, endowed with the action of a connected compact Lie group G, and let L be a positive G-equivariant line bundle on M.. One

The bouquet bch(E , A ) will be called the bouquet of Chern characters of the bundle E with connection A (in fact, we will have to modify the notion of G-equivariant vector bundle

Let us denote by RG perm p the category of all p {permutation RG {modules. The following proposition generalizes to p {permutation modules a result which is well known for

A compact G-space is called a G-boundary in the sense of Furstenberg ([F1, F2]) if X is minimal and strongly proximal, or equivalently if X is the unique minimal G-invariant