Construction of spheres with handles and non-vanishing mean curvature in the Euclidean 3-space.

DOI10.1016/S0926-2245(02)00099-2zbMath1043.53007OpenAlexW2032942089WikidataQ115338159 ScholiaQ115338159MaRDI QIDQ1405249

Philippe P. Delanoë

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(02)00099-2

zbMATH Keywords

embedded surfacehigher genuspositive mean curvaturesmooth surgery

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• The Dirichlet problem for the prescribed curvature equations
• Dirichlet problem for the equation of a given Lorentz-Gaussian curvature
• Problème de Dirichlet pour la courbure scalaire dans
• A DESCRIPTION OF THE STABILITY CONES GENERATED BY DIFFERENTIAL OPERATORS OF MONGE-AMPÈRE TYPE

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