| Title:
|
A note on the volume of $\nabla $-Einstein manifolds with skew-torsion (English) |
| Author:
|
Chrysikos, Ioannis |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
385-393 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew\--tor\-sion. We provide a result for the sign of the first variation of the volume in terms of the corresponding scalar curvature. This generalizes a result of M.~Ville \cite {Vil} related with the first variation of the volume on a compact Einstein manifold. (English) |
| Keyword:
|
connections with totally skew-symmetric torsion |
| Keyword:
|
scalar curvature |
| Keyword:
|
$\nabla $-Einstein manifolds |
| Keyword:
|
parallel skew-torsion. |
| MSC:
|
53B05 |
| MSC:
|
53C05 |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 07484375 |
| idMR:
|
MR4355412 |
| . |
| Date available:
|
2022-01-10T10:02:57Z |
| Last updated:
|
2022-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149324 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
|
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| . |
