The centroaffine volume of generalized geodesic balls under inversion at the sphere

DOI10.1007/BF03322747zbMath1030.53020OpenAlexW2028082224WikidataQ126135345 ScholiaQ126135345MaRDI QIDQ1411452

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/bf03322747

zbMATH Keywords

geodesic ballsinversion at the unit sphereTaylor expansion of volume functions

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Linear and affine connections (53B05) Affine differential geometry (53A15)

Cites Work

• Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Cubic form methods and relative Tchebychev hypersurfaces
• Geometric structures as determined by the volume of generalized geodesic balls
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