Alexandrov curvature of Kaehler curves

Details Alexandrov curvature of Kaehler curves Alexandrov curvature of Kaehler curves

2008-06-11

arxiv.org/abs/0806.1831v2

Mathematics

Differential Geometry

Added reference to a related result of Mese

Scientific paper

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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