| Title:
|
On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions (English) |
| Author:
|
Ghosh, Gopal |
| Author:
|
De, Uday Chand |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
87-99 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field $\xi $ belonging to the $(k,\mu )^{\prime }$-nullity distribution and $(k,\mu )$-nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$- and $(k,\mu )$-nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with $\xi $ belonging to $(k,\mu )^{\prime }$-nullity distribution admitting a semisymmetric metric connection. (English) |
| Keyword:
|
Semisymmetric metric connection |
| Keyword:
|
almost Kenmotsu manifold |
| Keyword:
|
Einstein manifold |
| Keyword:
|
sectional curvature |
| Keyword:
|
Ricci tensor |
| Keyword:
|
Weyl conformal curvature tensor |
| MSC:
|
53C25 |
| MSC:
|
53C35 |
| idZBL:
|
Zbl 1372.53048 |
| . |
| Date available:
|
2017-03-16T12:45:08Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146063 |
| . |
| Reference:
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