| Title:
|
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form (English) |
| Author:
|
Abedi, Esmaeil |
| Author:
|
Ziabari, Reyhane Bahrami |
| Author:
|
Tripathi, Mukut Mani |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
113-130 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained. (English) |
| Keyword:
|
Ricci curvature |
| Keyword:
|
scalar curvature |
| Keyword:
|
squared mean curvature |
| Keyword:
|
conformal Sasakian space form |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| MSC:
|
53D15 |
| idZBL:
|
Zbl 06644062 |
| idMR:
|
MR3535632 |
| DOI:
|
10.5817/AM2016-2-113 |
| . |
| Date available:
|
2016-07-19T11:27:37Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145745 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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