| Title:
|
Transversally symmetric immersions (English) |
| Author:
|
González-Dávila, J. C. |
| Author:
|
González-Dávila, M. C. |
| Author:
|
Vanhecke, L. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
273-294 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notions of (extrinsic) locally transversally symmetric immersions and submanifolds in a Riemannian manifold equipped with a unit Killing vector field as analogues of those of (extrinsic) locally symmetric immersions and submanifolds. We treat their geometric properties, derive several characterizations and give a list of examples. (English) |
| Keyword:
|
reflections |
| Keyword:
|
isometric flows |
| Keyword:
|
transversally symmetric immersions |
| Keyword:
|
locally transversally symmetric submanifolds |
| Keyword:
|
(locally) symmetric and transversally symmetric immersions and submanifolds |
| Keyword:
|
Killing-transversally symmetric spaces |
| Keyword:
|
normal flow space forms |
| MSC:
|
53B25 |
| MSC:
|
53C25 |
| MSC:
|
53C30 |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 0902.53041 |
| idMR:
|
MR1600652 |
| DOI:
|
10.21136/MB.1997.126147 |
| . |
| Date available:
|
2009-09-24T21:26:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126147 |
| . |
| 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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| Reference:
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