Hypersurfaces with parallel affine curvature tensor R*
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 25-32
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In [OV] we introduced an affine curvature tensor R*. Using it we characterized some types of hypersurfaces in the affine space $ℝ^{n+1}$. In this paper we study hypersurfaces for which R* is parallel relative to the induced connection.
Keywords:
curvature tensor, induced connection, affine normal
Affiliations des auteurs :
Barbara Opozda 1 ; Leopold Verstraelen 1
@article{10_4064_ap_72_1_25_32,
author = {Barbara Opozda and Leopold Verstraelen},
title = {Hypersurfaces with parallel affine curvature tensor {R*}},
journal = {Annales Polonici Mathematici},
pages = {25--32},
publisher = {mathdoc},
volume = {72},
number = {1},
year = {1999},
doi = {10.4064/ap-72-1-25-32},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-25-32/}
}
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Barbara Opozda; Leopold Verstraelen. Hypersurfaces with parallel affine curvature tensor R*. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 25-32. doi: 10.4064/ap-72-1-25-32
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