On double-ruled hypersurfaces in
Oldřich Kowalski; Zdeněk Vlášek
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 2, page 407-411
- ISSN: 0010-2628
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topKowalski, Oldřich, and Vlášek, Zdeněk. "On double-ruled hypersurfaces in $\mathbf {R}^4$." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 407-411. <http://eudml.org/doc/248110>.
@article{Kowalski1997,
abstract = {We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in $\mathbf \{R\}^4$.},
author = {Kowalski, Oldřich, Vlášek, Zdeněk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Riemannian manifold; ruled hypersurface; induced Riemannian metrics; ruled hypersurface; Euclidean 4-space},
language = {eng},
number = {2},
pages = {407-411},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On double-ruled hypersurfaces in $\mathbf \{R\}^4$},
url = {http://eudml.org/doc/248110},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Kowalski, Oldřich
AU - Vlášek, Zdeněk
TI - On double-ruled hypersurfaces in $\mathbf {R}^4$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 407
EP - 411
AB - We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in $\mathbf {R}^4$.
LA - eng
KW - Riemannian manifold; ruled hypersurface; induced Riemannian metrics; ruled hypersurface; Euclidean 4-space
UR - http://eudml.org/doc/248110
ER -
References
top- Barbosa J.L.M., Delgado J.A., Ruled submanifolds of space forms with mean curvature of nonzero constant length, Amer. J. Math. 106 (1984), 763-780. (1984) Zbl0553.53010MR0749256
- Barbosa J.L.M., Jorge L.P.M., Dajczer M., Minimal ruled submanifolds of spaces of constant curvature, Indiana Univ. Math. J. 33 (1984), 531-547. (1984) MR0749313
- Boeckx E., Kowalski O., Vanhecke L., Riemannian manifolds of conullity two, World Scientific Publ., Singapore, 1996 (Monograph). Zbl0904.53006MR1462887
- Dajczer M., Gromoll D., Rigidity of complete Euclidean hypersurfaces, J. Diff. Geom. 31 (1990), 401-416. (1990) Zbl0667.53003MR1037409
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