A Riemannian four vertex theorem for surfaces with boundary

DOI10.1090/S0002-9939-2010-10507-5zbMath1216.53040WikidataQ115289301 ScholiaQ115289301MaRDI QIDQ3082298

Mohammad Ghomi

Publication date: 10 March 2011

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

zbMATH Keywords

space formsfour vertex theoremsflat structures with conical singularitiesgeodesic verticessurfaces of constant curvature with boundary

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items

Pseudo-edge unfoldings of convex polyhedra ⋮ Affine unfoldings of convex polyhedra ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Tangent lines, inflections, and vertices of closed curves ⋮ The classification of flat Riemannian metrics on the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
• On the four-vertex theorem
• Extremals of determinants of Laplacians
• Lectures on hyperbolic geometry
• A counterexample to a conjecture of U. Pinkall
• Curvature flows on surfaces with boundary
• The generalized Minkowski problem in differential geometry in the large
• Locally convex hypersurfaces of constant curvature with boundary
• Foundations of Hyperbolic Manifolds
• Differential Topology
• 6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus
• On locally convex hypersurfaces with boundary
• 𝐡-principles for hypersurfaces with prescribed principle curvatures and directions
• Vertices of plane curves
• The Four-Vertex Theorem for Surfaces of Constant Curvature