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

S. Ali Aleyasin; Xiuxiong Chen

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arXiv · 1306.1867

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

S. Ali Aleyasin·Xiuxiong Chen

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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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BibTeX RIS

S. Ali Aleyasin, Xiuxiong Chen. 2013-10-31. On the Geodesics in the space of Kähler metrics with prescribed singularities. https://arxiv.org/abs/1306.1867

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