4 papers
The CR Killing operator and Bernstein-Gelfand-Gelfand construction in CR geometry
Yoshihiko Matsumoto
We elaborate the tractor calculus for compatible almost CR structures (also known as strictly pseudoconvex partially integrable almost CR structures) on contact manifolds, and as a…
A construction of Poincaré-Einstein metrics of cohomogeneity one on the ball
Yoshihiko Matsumoto
We exhibit an explicit one-parameter smooth family of Poincaré-Einstein metrics on the even-dimensional unit ball whose conformal infinities are the Berger spheres. Our constructio…
Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence
Yoshihiko Matsumoto
This is a survey on the correspondence between asymptotically complex hyperbolic Einstein metrics and CR structures on the boundary at infinity, which is the complex version of tha…
Q-curvature of Weyl structures and Poincaré metrics
Kengo Hirachi, Christian Lübbe, Yoshihiko Matsumoto
We study an asymptotic Dirichlet problem for Weyl structures on asymptotically hyperbolic manifolds. By the bulk-boundary correspondence, or more precisely by the Fefferman-Graham…