| Title:
|
Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds (English) |
| Author:
|
Atçeken, Mehmet |
| Author:
|
Kumar Hui, Shyamal |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
177-190 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an LCS-manifold to illustrate the subject. (English) |
| Keyword:
|
slant submanifold |
| Keyword:
|
pseudo-slant submanifold |
| Keyword:
|
${\rm LCS}$-manifold |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| idZBL:
|
Zbl 1274.53047 |
| idMR:
|
MR3035505 |
| DOI:
|
10.1007/s10587-013-0012-6 |
| . |
| Date available:
|
2013-03-01T16:14:06Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143178 |
| . |
| 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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| . |
