Geodesic
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.
DOI : 10.4064/ap-72-1-25-32
Keywords: curvature tensor, induced connection, affine normal

Barbara Opozda 1 ; Leopold Verstraelen 1

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/}
}
TY  - JOUR
AU  - Barbara Opozda
AU  - Leopold Verstraelen
TI  - Hypersurfaces with parallel affine curvature tensor R*
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 25
EP  - 32
VL  - 72
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-25-32/
DO  - 10.4064/ap-72-1-25-32
LA  - en
ID  - 10_4064_ap_72_1_25_32
ER  - 
%0 Journal Article
%A Barbara Opozda
%A Leopold Verstraelen
%T Hypersurfaces with parallel affine curvature tensor R*
%J Annales Polonici Mathematici
%D 1999
%P 25-32
%V 72
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-25-32/
%R 10.4064/ap-72-1-25-32
%G en
%F 10_4064_ap_72_1_25_32
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. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-25-32/

Cité par Sources :