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On normal and conormal maps for affine hypersurfaces

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Publication:1204166
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DOI10.2748/tmj/1178227306zbMath0761.53007OpenAlexW2023308913WikidataQ125989677 ScholiaQ125989677MaRDI QIDQ1204166

Katsumi Nomizu, Barbara Opozda

Publication date: 1 April 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227306

zbMATH Keywords

ellipsoidsLaplaciannormal mapovaloidshyperellipsoidhyperovaloidconormal image


Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Affine differential geometry (53A15)


Related Items

On the divergence of 1-conformally flat statistical manifolds, Conformal structure in affine geometry: Complete Tchebychev hypersurfaces, A class of projectively flat surfaces, Some relations between Riemannian and affine geometry, On Cartan's identities of equiaffine isoparametric hypersurfaces



Cites Work

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  • Conjugate connections and Radon's theorem in affine differential geometry
  • On the geometry of affine immersions
  • Minkowskische Integralformeln und ihre Anwendungen in der Differentialgeometrie im Großen
  • Harmonic Gauss maps and Codazzi tensors for affine hypersurfaces
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