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Bounds for hyperspheres of prescribed Gaussian curvature

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Publication:1117480
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DOI10.4310/JDG/1214444638zbMath0667.53047OpenAlexW1596301901WikidataQ115182168 ScholiaQ115182168MaRDI QIDQ1117480

Andrejs E. Treibergs

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214444638


zbMATH Keywords

Monge-Ampère equationconvex hypersurfaceGauss curvaturessupremum estimates


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (3)

Embedding \(\mathbb S^n\) into \(\mathbb R^{n+1}\) with given integral Gauss curvature and optimal mass transport on \(\mathbb S^n\) ⋮ Prescription of Gauss curvature using optimal mass transport ⋮ On degenerate case of prescribed curvature measure problems







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