In this paper, contact metric manifolds whose characteristic vector field ξ is a harmonic vector
field are called H-contact manifolds. We show that a (2n+ 1)-dimensional contact metric …

There is one-to-one correspondence between contact semi-Riemannian structures (η, ξ, φ,
g) and non-degenerate almost CR structures (H, ϑ, J). In general, a non-degenerate almost …

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 …

We study curvature dimension inequalities for the sub-Laplacian on contact Riemannian
manifolds. This new curvature dimension condition is then used to obtain: 1) Geometric …

Abstract The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold
admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is …

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 study the heat kernel associated with the Kohn-Rossi Laplacian on a compact contact
Riemannian manifold. We prove its unique existence and show that its every differential at …

As a natural generalization of a Sasakian space form, we define a contact strongly pseudo-
convex CR-space form (of constant pseudo-holomorphic sectional curvature) by using the …

Starting from work by S. Tanno,[39], and E. Barletta et al.,[3], we study the geometry of
(possibly non integrable) almost CR structures on contact Riemannian manifolds. We …

We build a variational theory of geodesics of the Tanaka-Webster connection 'on a strictly
pseudoconvex CR manifold M. Given a contact form y on M such that šM, yŽ has nonpositive …