Certain curvature characterizations of affine hypersurfaces
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This article is published in Colloquium Mathematicum.The article was published on 1992-01-01 and is currently open access. It has received 6 citations till now. The article focuses on the topics: Affine plane & Affine geometry of curves.read more
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Journal ArticleDOI
On some class of pseudosymmetric warped products
Ryszard Deszcz,Dorota Kowalczyk +1 more
TL;DR: In this article, curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature were studied and the curvatures of these warped products were analyzed.
Proceedings ArticleDOI
On some type of curvature conditions
Mohamed Belkhelfa,Ryszard Deszcz,Małgorzata Głogowska,Marian Hotloś,Dorota Kowalczyk,Leopold Verstraelen +5 more
TL;DR: A review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type can be found in this article, where the authors present a review of the results.
Posted Content
On hypersurfaces satisfying conditions determined by the Opozda-Verstraelen affine curvature tensor
TL;DR: In this article, the Opozda-Verstraelen affine curvature tensor is defined for locally strongly convex hypersurfaces M, n>2, with two distinct affine principal curvatures.
Journal ArticleDOI
Affine semiparallel surfaces with constant Pick invariant
Mohamed Belkhelfa,Masao Katou +1 more
TL;DR: In this article, the authors classify all affine semiparallel surfaces in R 3 with constant pick invariance and apply it to affine R 3 surfaces with shape operators that are not parallel.
References
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Affine hypersurfaces with parallel cubic forms
Journal ArticleDOI
The symmetry of warped product space-times
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