The metric induced by the Robin function

Levi-curvature Smooth variation of domains Boundary behaviour of the Robin function *L(*x) Proof of Lemma 3.1 Proof of Lemma 3.1, continued Limiting formulas Strict plurisubharmonicity of -*L(*x), log(-*L (*x)) The Robin function and the Bergman kernel Metric induced by Robin function Strictly pseudoconvex boundary points Explicit formulas for a half-space Sufficient conditions for completeness of the *L-metric An example with J2(*x,a)Ac J1(*x,a)J2.