On hypersurfaces in a Riemannian vector bundle with prescribed Gaussian curvature and convexity

DOI10.1007/S00209-003-0605-0zbMath1059.53035OpenAlexW2035277309WikidataQ115388866 ScholiaQ115388866MaRDI QIDQ1434206

Abdellah Hanani

Publication date: 1 July 2004

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0605-0

zbMATH Keywords

Sasaki metricvector bundlehypersurfacesprescribed Gauss curvaturemetrics on sphere bundles

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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