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A new intrinsic curvature invariant for centroaffine hypersurfaces

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Publication:1368023
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zbMath0884.53013MaRDI QIDQ1368023

Christine Scharlach, Udo Simon, Leopold Verstraelen, Luc Vrancken

Publication date: 19 March 1998

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225894


zbMATH Keywords

curvature invariantcentroaffine hypersurfaceChebyshev vector fieldasymptotic spectral geometry of Laplace type operatorspolar hypersurfacesproper affine hyperspheres


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Affine differential geometry (53A15)


Related Items (8)

Warped products in real space forms ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4 ⋮ Locally strongly convex affine hyperspheres realizing Chen's equality ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 5 ⋮ \(\delta\)-invariants and their applications to centroaffine geometry ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ Gheorghe Ţiţeica and the origins of affine differential geometry ⋮ Geometry of affine warped product hyperspaces




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