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arXiv · 0806.1831

Alexandrov curvature of Kaehler curves

Alessandro Ghigi
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Abstract

We study the intrinsic geometry of a one-dimensional complex space provided with a Kaehler metric in the sense of Grauert. We show that if K is an upper bound for the Gaussian curvature on the regular locus, then the intrinsic metric has curvature at most K in the sense of Alexandrov.

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Alessandro Ghigi. 2008-07-21. Alexandrov curvature of Kaehler curves. https://arxiv.org/abs/0806.1831

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