6 problems

Let $(M,\theta)$ be a closed pseudohermitian $(2n+1)$-manifold with $n\geq 2$. Assume, in addition, that the CR-Paneitz operator is nonnegative if $n=1$. Suppose there is a positiv…

Let $M^{2m+1}$ be a closed pseudohermitian manifold with vanishing pseudohermitian torsion $A_{\alpha\beta}=0$ and Webster Ricci tensor satisfying … Suppose a positive function $f$…

Let $I$ be a natural pseudohermitian scalar invariant whose total integral is a secondary CR invariant. Here, a secondary CR invariant is a total integral invariant under changes o…

Let $(M^3,J,\theta,f,\mu)$ be a three-dimensional closed CR Yamabe soliton, where $P_0$ is the CR Paneitz operator. Assume that $P_0f=0$ and that $f$ is nowhere vanishing. Torsion…

Let $(M,\theta)$ be a closed pseudohermitian $(2n+1)$-manifold with $n\ge 2$. Assume that the Paneitz operator is nonnegative if $n=1$. Suppose there is a positive constant $k_0$ s…

Let the model be the generalized ellipsoid described in Section 2, equipped with the contact form $\vartheta$ defined in equation (polo). A CR map is said to preserve the Tanaka–We…