| Title:
|
On double-ruled hypersurfaces in $\bold R^4$ (English) |
| Author:
|
Kowalski, Oldřich |
| Author:
|
Vlášek, Zdeněk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
407-411 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in $\boldkey R^4$. (English) |
| Keyword:
|
Riemannian manifold |
| Keyword:
|
ruled hypersurface |
| MSC:
|
53A07 |
| MSC:
|
53B20 |
| MSC:
|
53C20 |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 0891.53005 |
| idMR:
|
MR1455509 |
| . |
| Date available:
|
2009-01-08T18:35:09Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118940 |
| . |
| Reference:
|
[1] 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. Zbl 0553.53010, MR 0749256 |
| Reference:
|
[2] 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. MR 0749313 |
| Reference:
|
[3] Boeckx E., Kowalski O., Vanhecke L.: Riemannian manifolds of conullity two.World Scientific Publ., Singapore, 1996 (Monograph). Zbl 0904.53006, MR 1462887 |
| Reference:
|
[4] Dajczer M., Gromoll D.: Rigidity of complete Euclidean hypersurfaces.J. Diff. Geom. 31 (1990), 401-416. Zbl 0667.53003, MR 1037409 |
| . |
