The concept of orbifolds should unify differential geometry with equivariant homotopy theory,
so that orbifold cohomology should unify differential cohomology with proper equivariant …

Untitled Page 1 Page 2 Progress in Mathematics Volume 246 Series Editors Hyman Bass
Joseph Oesterlé Alan Weinstein Page 3 Sorin Dragomir Giuseppe Tomassini Differential …

The authors study the relationship between foliation theory and differential geometry and
analysis on Cauchy-Riemann (CR) manifolds. The main objects of study are transversally …

We show that the pseudohermitian sectional curvature Hθ (σ) of a contact form θ on a strictly
pseudoconvex CR manifold M measures the difference between the lengths of a circle in a …

For any compact strictly pseudoconvex CR manifold $ M $ endowed with a contact form
$\theta $ we obtain the Bochner type formula $\frac {1}{2}\Delta_ {b}(|\nabla^{H} f|^{2})=|\pi …

We study Levi harmonic maps, ie, C∞ solutions f: M→ M′ to H(f)≡trace_g(Hf)=0, where (M,
η, g) is an (almost) contact (semi) Riemannian manifold, M′ is a (semi) Riemannian …

We review several results in the theory of weighted Bergman kernels. Weighted Bergman
kernels generalize ordinary Bergman kernels of domains Ω⊂ C n but also appear locally in …

The present ınonograph is an attempt to a better understanding of an interdisciplinary
question, namely the impact of foliation theory on the geometry and analysis on CR …

We review the salient properties of subelliptic harmonic maps and morphisms, both from a
domain in ℝ N endowed with a Hörmander system and from a strictly pseudoconvex CR …