21 citations · 41 across the 12 of their papers we have counts for
12 papers
CR-invariant energy of Legendrian knots in the Heisenberg group
Yoshihiko Matsumoto, Jun O'Hara
We introduce an energy functional for Legendrian knots in the 3-dimensional Heisenberg group , which serves as a sub-Riemannian analog of the Möbius invariant knot ene…
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…
Canonical almost complex structures on ACH Einstein manifolds
Yoshihiko Matsumoto
On asymptotically complex hyperbolic (ACH) Einstein manifolds, we consider a certain variational problem for almost complex structures compatible with the metric, for which the lin…
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…
Deformation of Einstein metrics and cohomology on strictly pseudoconvex domains
Yoshihiko Matsumoto
We construct new complete Einstein metrics on smoothly bounded strictly pseudoconvex domains in Stein manifolds. This is done by deforming the Kähler-Einstein metric of Cheng and Y…
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…
Proper harmonic maps between asymptotically hyperbolic manifolds
Kazuo Akutagawa, Yoshihiko Matsumoto
Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with boundary conditions at infinity…
GJMS operators, Q-curvature, and obstruction tensor of partially integrable CR manifolds
Yoshihiko Matsumoto
We extend the notions of CR GJMS operators and Q-curvature to the case of partially integrable CR structures. The total integral of the CR Q-curvature turns out to be a global inva…
A GJMS construction for 2-tensors and the second variation of the total Q-curvature
Yoshihiko Matsumoto
We construct a series of conformally invariant differential operators acting on weighted trace-free symmetric 2-tensors by a method similar to Graham-Jenne-Mason-Sparling's. For co…
Asymptotics of ACH-Einstein metrics
Yoshihiko Matsumoto
We study the boundary asymptotics of ACH metrics which are formally Einstein. In terms of the partially integrable almost CR structure induced on the boundary at infinity, existenc…