On the Geodesics in the space of Kähler metrics with prescribed singularities

2013/06/08 by Aleyasin, S. Ali, Chen, Xiuxiong
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.1867

Abstract

Motivated by the results of B. Berndtsson, in this memoir we use the new estimates developed by W. He to extend a theorem of the second author on the existence of weak C^1,1 geodesics between two smooth non-degenerate Kähler potentials to the case where the metrics on the end points may have singularities on some analytic set and may be positive semi-definite.

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