On the critical points of a Riemannian surface

DOI10.1515/ADVGEOM.2006.030zbMATH Open1139.53022WikidataQ115237060 ScholiaQ115237060MaRDI QIDQ5440742

Tudor Zamfirescu

Publication date: 5 February 2008

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldscritical points

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Scattering of geodesic fields, I
• Farthest points on convex surfaces
• Connections between differential geometry and topology. I. Simply connected surfaces
• Connections between differential geometry and topology. II. Closed surfaces
• Extreme points of the distance function on convex surfaces
• On Some Questions about Convex Surfaces

Related Items (13)

Critical point theorems on Finsler manifolds ⋮ Multiple farthest points on Alexandrov surfaces ⋮ Critical points of the solutions to the \(H_R =H_L\) surface equation ⋮ Unnamed Item ⋮ Critical points of higher order for the normal map of immersions in \(\mathbb{R}^d\) ⋮ Critical points on convex surfaces ⋮ Common maxima of distance functions on orientable Alexandrov surfaces ⋮ Antipodal trees and mutually critical points on surfaces ⋮ Unnamed Item ⋮ Every point in a Riemannian manifold is critical ⋮ Points, Lines, and Surfaces at Criticality ⋮ Critical points of a mean field type functional on a closed Riemann surface ⋮ Critical points of invariant functions on closed orientable surfaces

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