Variations of K-E metrics on bounded pseudoconvex domains

speaker: Youngjun Choi (Institut Fourier, Grenoble)

abstract: Let D be a smooth domain in Cn+m such that for each s Є π(D), the slice Ds = π-1(s)\D is a bounded pseudoconvex domain with smooth boundary. Cheng and Yau have shown that on each slice Ds there exists a unique complete Kaehler-Einstein metric. We let h(z; s) = hs(z) denote its potential. In this talk, we discuss the plurisubharmonicity of (z; s) →h(z; s) when the total space D is pseudoconvex in Cn+m

timetable:
Tue 25 Oct, 16:00 - 17:00, Sala Stemmi
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