Geometric structures as determined by the volume of generalized geodesic balls

DOI10.1007/BF03322738zbMath1057.53021OpenAlexW2065303815MaRDI QIDQ1411443

Neda Bokan, Mirjana Djoric, Udo Simon

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322738

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Distance distributions and inverse problems for metric measure spaces ⋮ The centroaffine volume of generalized geodesic balls under inversion at the sphere ⋮ Geometric realizations of generalized algebraic curvature operators

Cites Work

• Riemannian geometry as determined by the volumes of small geodesic balls
• Additive volume invariants of Riemannian manifolds
• The Bernstein problem for affine maximal hypersurfaces
• The volume of a small geodesic ball of a Riemannian manifold
• Transformation techniques for partial differential equations on projectively flat manifolds
• Zur affinen Differentialgeometrie im Großen. I
• Rigidity and convexity of hypersurfaces in spheres
• Hypersurfaces with Maximal Affinely Invariant Area
• Global affine differential geometry of hypersurfaces
• The Calabi conjecture on affine maximal surfaces
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