| Title:
|
A theory on non-developable generalized ruled surfaces in the elliptic space $E^m$ (English) |
| Author:
|
Thas, Charles |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
609-618 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53A25 |
| MSC:
|
53A35 |
| idZBL:
|
Zbl 0565.53009 |
| idMR:
|
MR764443 |
| DOI:
|
10.21136/CMJ.1984.101987 |
| . |
| Date available:
|
2008-06-09T15:02:51Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101987 |
| . |
| Reference:
|
[1] Chen B. Y.: Geometry of submanifolds.Marcel Dekker, New York 1973. Zbl 0262.53036, MR 0353212 |
| Reference:
|
[2] Obata M.: The Gauss map of a minimal immersion.Journal of differential geometry, vol. 2, nr. 2, 217-223 (1968). MR 0234388 |
| Reference:
|
[3] Spivak M.: A comprehensive introduction to differential geometry.(vol.4). Publish or perish inc., Boston (1970). Zbl 0202.52201 |
| Reference:
|
[4] Thas C.: Een (lokale) studie van de (m + 1)-dimensionale variëteiten van de n-dimensionale euklidische ruimte $R^n$ (n ≥ 2m + 1 en m ≥ 1), beschreven door een ééndimensionale familie van m-dimensionale linéaire ruimten.(English summary). Meded. Kon. Acad. Wet., Lett., Sch. K. van België, jaargang XXXVI, nr. 4, 83 pp. (1974). |
| Reference:
|
[5] Thas C.: A Gauss map on hypersurfaces of submanifolds in euclidean spaces.J. Korean Math. Soc., vol. 76, 1, 17-27, (1979). Zbl 0433.53014, MR 0543079 |
| Reference:
|
[6] Thas C.: A note on a class of submanifolds of a space form $R^m$ {k).Soochow J. Math., vol. 4, pp. 29-38 (1978). MR 0530536 |
| Reference:
|
[7] Thas C.: On submanifolds of a Riemannian manifold M containing a hypersurface which is totally geodesic in M and applications.Resultate der Mathematik, Vol, 5, pp. 1-10, (1983). Zbl 0531.53001, MR 0732912 |
| . |
