15 citations · 49 across the 21 of their papers we have counts for
22 papers
Chern classes of Levi non-degenerate CR manifolds
Yuya Takeuchi
We construct closed Levi non-degenerate CR manifolds with non-vanishing Chern monomials. For every and , there exi…
Lower bounds for the critical CR GJMS operator
Yuya Takeuchi
We establish lower bounds for the critical CR GJMS operator on closed pseudo-Hermitian manifolds. In dimension , assuming embeddability, we obtain a lower bound involving the…
Joint spectrum of the sub-Laplacian and the Reeb vector field on three-dimensional Heisenberg Bieberbach manifolds
Yoshiaki Suzuki, Yuya Takeuchi
A Heisenberg Bieberbach manifold is a compact quotient of the Heisenberg group by a discrete torsion-free subgroup of its pseudo-Hermitian automorphism group. In this paper, we stu…
Non-embeddable torus and CR Paneitz operator
Pak Tung Ho, Yuya Takeuchi
The CR Paneitz operator is closely related to several important problems in CR geometry. In this paper, we study the CR Paneitz operator on non-embeddable three-dimensional tori. U…
Non-homothetic complete periodic contact forms with constant Tanaka--Webster scalar curvature
Jeffrey S. Case, Yuya Takeuchi
We study the existence problem for complete contact forms with constant Tanaka--Webster scalar curvature on non-compact strictly pseudoconvex CR manifolds. We prove that, under mil…
CR Paneitz operator and embeddability
Yuya Takeuchi
In this article, we give a brief survey of recent developments on relations between global embeddability of a closed strictly pseudoconvex CR manifold and the CR Paneitz operator.