| Title:
|
Grassmann manifold $V\sp 4\sb 3$ in the projective space $P\sb 7$ with characteristics consisting of a quadric and two planes (English) |
| Author:
|
Vala, Josef |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
225-240 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some results in the geometry of four-parametric manifolds of three-dimensional spaces in the projective space $P_7$ are found. The properties of such a manifold $V^4_3$ with characteristics consisting of a quadric and two planes are studied. The properties of the manifold dual to $V^4_3$ are found.
Some results in the geometry of linear spaces from [1],[2],[3],[4] are used. The notation of the quantities is the same as in [4]. (English) |
| Keyword:
|
systems of linear spaces |
| Keyword:
|
dual manifold |
| Keyword:
|
four-parametric manifolds |
| Keyword:
|
projective space |
| Keyword:
|
characteristics |
| Keyword:
|
differential geometry of systems of linear spaces |
| MSC:
|
53A20 |
| idZBL:
|
Zbl 0854.53015 |
| idMR:
|
MR1239117 |
| DOI:
|
10.21136/MB.1993.125928 |
| . |
| Date available:
|
2009-09-24T20:59:22Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125928 |
| . |
| Reference:
|
[1] C. П. Фиников: Теория пар конгруенций.Mocквa, 1956. Zbl 0995.90522 |
| Reference:
|
[2] Л. З. Крузляков: Основы проективно-дифференциальной геометрии семейства многомерных плоскостей.Toмсk, 1980. Zbl 1138.81416 |
| Reference:
|
[3] A. Švec: Projective differential geometry of line congruences.Praha, 1956. |
| Reference:
|
[4] J. Vala: Special Grassman manifold $V_3^4$ in the projective space $P_7$.Časopis pěst. mat. 113 (1988), 36-51. MR 0930804 |
| . |
