| Title:
|
Isotropic almost complex structures and harmonic unit vector fields (English) |
| Author:
|
Baghban, Amir |
| Author:
|
Abedi, Esmaeil |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
15-32 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Isotropic almost complex structures $J_{\delta , \sigma }$ define a class of Riemannian metrics $g_{\delta , \sigma }$ on tangent bundles of Riemannian manifolds which are a generalization of the Sasaki metric. In this paper, some results will be obtained on the integrability of these almost complex structures and the notion of a harmonic unit vector field will be introduced with respect to the metrics $g_{\delta , 0}$. Furthermore, the necessary and sufficient conditions for a unit vector field to be a harmonic unit vector field will be obtained. (English) |
| Keyword:
|
complex structures |
| Keyword:
|
energy functional |
| Keyword:
|
isotropic almost complex structure |
| Keyword:
|
unit tangent bundle |
| Keyword:
|
variational problem |
| Keyword:
|
tension field |
| MSC:
|
53C15 |
| MSC:
|
53C43 |
| idZBL:
|
Zbl 06861555 |
| idMR:
|
MR3783289 |
| DOI:
|
10.5817/AM2018-1-15 |
| . |
| Date available:
|
2018-03-12T13:43:07Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147107 |
| . |
| 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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| Reference:
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| . |
