A tensor invariant is defined on a quaternionic contact manifold in terms of the curvature and
torsion of the Biquard connection involving derivatives up to third order of the contact form …

A complete solution to the quaternionic contact Yamabe problem on the seven dimensional
sphere is given. Extremals for the Sobolev inequality on the seven dimensional Heisenberg …

The main technical result of the paper is a Bochner type formula for the sub-Laplacian on a
quaternionic contact manifold. With the help of this formula we establish a version of …

The optimal constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group
Page 1 Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 635-652 The optimal constant in …

We prove a CR version of the Obata's result for the first eigenvalue of the sub-Laplacian in
the setting of a compact strictly pseudoconvex pseudohermitian manifold which satisfies a …

We show that the fundamental 4‐form on a quaternionic contact (qc) manifold of dimension
at least 11 is closed if and only if the torsion endomorphism of the Biquard connection …

This dissertation contains two research directions. In the first direction, we deduce explicit
expressions of the subelliptic heat kernels on three sub-Riemannian model spaces: the …

A version of Lichnerowicz'theorem giving a lower bound of the eigenvalues of the sub-
Laplacian on a compact seven dimensional quaternionic contact manifold is proved …

We construct left-invariant quaternionic contact (qc) structures on Lie groups with zero and
non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor …

RW Sharpe's book [56] explains that differential geometry is, ultimately, the study of a
connection on a principal bundle. A beautiful realization of this idea are Cartan's …