Alexandrov curvature of Kaehler curves
classification
🧮 math.DG
math.MG
keywords
curvaturealexandrovintrinsickaehlermetricsenseboundcomplex
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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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