By introducing a new approximation technique in the L 2 theory of the∂¯-operator,
Hörmander's L 2 variant of Andreotti-Grauert's finiteness theorem is extended and refined on …

We give a new CR invariant treatment of the bigraded Rumin complex and related
cohomology groups via differential forms. A key benefit is the identification of balanced …

For each invariant polynomial Φ, we construct a global CR invariant via the renormalized
characteristic form of the Cheng–Yau metric on a strictly pseudoconvex domain. When the …

We construct higher-dimensional analogues of the I′-curvature of Case and Gover in all
CR dimensions n≥ 2. Our I′-curvatures all transform by a first-order linear differential …

In this paper, we show that the CR Q-curvature is orthogonal to the space of CR
pluriharmonic functions on any closed strictly pseudoconvex CR manifold of dimension at …

The Q-prime curvature is a local pseudo-Einstein invariant on CR manifolds defined by
Case and Yang, and Hirachi. Its integral, the total Q-prime curvature, gives a non-trivial …

We construct higher-dimensional analogues of the $\mathcal {I}^\prime $-curvature of Case
and Gover in all CR dimensions $ n\geq2 $. Our $\mathcal {I}^\prime $-curvatures all …

We construct Q-curvature operators on d-closed (1, 1)-forms and on∂¯ b-closed (0, 1)-forms
on five-dimensional pseudohermitian manifolds. These closely related operators give rise to …

A pseudo-Einstein contact form plays a crucial role in defining some global invariants of
closed strictly pseudoconvex CR manifolds. In this paper, we prove that the existence of a …

We construct a natural conformally invariant one-form of weight− 2 k on any 2k-dimensional
pseudo-Riemannian manifold which is closely related to the Pfaffian of the Weyl tensor. On …