CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
On the existence of a complete K \"ahler metric on noncompact complex manifolds and the regularity of F efferman's equation
3 Pith papers cite this work. Polarity classification is still indexing.
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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.
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Non-embeddable torus and CR Paneitz operator
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
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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.
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Bottom of the spectrum of complete noncompact K\"{a}hler manifolds
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.