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The Gaussian curvature of Alexandrov surfaces

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Publication:1298035
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DOI10.2969/jmsj/05040859zbMath0936.53044OpenAlexW1969367017MaRDI QIDQ1298035

Yoshiroh Machigashira

Publication date: 14 September 1999

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05040859


zbMATH Keywords

Gauss-Bonnet theoremGaussian curvatureAlexandrov surface


Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)


Related Items (9)

Convex functions on Alexandrov surfaces ⋮ The Connected Components of the Space of Alexandrov Surfaces ⋮ The soul conjecture in Alexandrov geometry in dimension 4 ⋮ Optimal diameter estimate of three-dimensional Ricci limit spaces ⋮ Scalar curvature via local extent ⋮ Boundary structure of convex sets in the hyperbolic space ⋮ Canonical smoothing of compact Alexandrov surfaces via Ricci flow ⋮ On the regularity of Alexandrov surfaces with curvature bounded below ⋮ Moderate smoothness of most Alexandrov surfaces




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