CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
The B ergman kernel and biholomorphic mappings of pseudoconvex domains
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
years
2026 5verdicts
UNVERDICTED 5representative citing papers
In complex dimension three, vanishing of the second-order coefficient in the boundary expansion of the normalized determinant of the Fefferman-Szegő metric is equivalent to local CR sphericity, as it equals a multiple of the squared Chern-Moser curvature.
Explicit Fefferman-Szegő metric on egg domains D_{2m} is Kähler-Einstein and proportional to Bergman metric iff m=1.
Establishes lower bound for Kähler hyperbolicity modulus on complete Kähler manifolds via boundary gradient length of plurisubharmonic functions, with applications to symmetric and strongly pseudoconvex domains.
Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.
citing papers explorer
-
The Fefferman-Szeg\H{o} Sphericity Criterion in Complex Dimension Three
In complex dimension three, vanishing of the second-order coefficient in the boundary expansion of the normalized determinant of the Fefferman-Szegő metric is equivalent to local CR sphericity, as it equals a multiple of the squared Chern-Moser curvature.
-
The invariant Szeg\H{o} metric on Egg domains
Explicit Fefferman-Szegő metric on egg domains D_{2m} is Kähler-Einstein and proportional to Bergman metric iff m=1.
-
K\"ahler Hyperbolicity Modulus for Simply-connected K\"ahler Hyperbolic manifolds
Establishes lower bound for Kähler hyperbolicity modulus on complete Kähler manifolds via boundary gradient length of plurisubharmonic functions, with applications to symmetric and strongly pseudoconvex domains.