78 citations · 211 across the 13 of their papers we have counts for
13 papers
Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates
Kengo Hirachi
We give a normal form for pseudo-Einstein contact forms and apply it to construct intrinsic CR normal coordinates parametrized by the structure group of CR geometry. The proof is b…
Variation of total Q-prime curvature on CR manifolds
Kengo Hirachi, Taiji Marugame, Yoshihiko Matsumoto
We derive variational formulas for the total Q-prime curvature under the deformation of strictly pseudoconvex domains in a complex manifold. We also show that the total Q-prime cur…
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…
Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles
Spyros Alexakis, Kengo Hirachi
On a compact Kahler manifold, one can define global invariants by integrating local invariants of the metric. Assume that a global invariant thus obtained depends only on the Kahle…
Q and Q-prime curvature in CR geometry
Kengo Hirachi
The Q-curvature has been playing a central role in conformal geometry since its discovery by T. Branson. It has natural analogy in CR geometry, however, the CR Q-curvature vanishes…
Q-prime curvature on CR manifolds
Kengo Hirachi
Q-prime curvature, which was introduced by J. Case and P. Yang, is a local invariant of pseudo-hermitian structure on CR manifolds that can be defined only when the Q-curvature van…