| Title:
|
Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds (English) |
| Author:
|
Lumiste, Ülo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
243-260 |
| . |
| Category:
|
math |
| . |
| Summary:
|
By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible. (English) |
| Keyword:
|
semiparallel submanifolds |
| Keyword:
|
flat normal connection |
| Keyword:
|
semisymmetric Riemannian manifolds |
| Keyword:
|
manifolds of conullity two |
| MSC:
|
53C21 |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 1090.53046 |
| idMR:
|
MR1922125 |
| . |
| Date available:
|
2009-01-08T19:21:37Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119317 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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