| Title:
|
Traceless component of the conformal curvature tensor in Kähler manifold (English) |
| Author:
|
Funabashi, Shoichi |
| Author:
|
Kim, Hyang Sook |
| Author:
|
Kim, Young-Mi |
| Author:
|
Pak, Jin Suk |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
857-874 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the traceless component of the conformal curvature tensor defined by (2.1) in Kähler manifolds of dimension $\ge 4$, and show that the traceless component is invariant under concircular change. In particular, we determine Kähler manifolds with vanishing traceless component and improve some theorems (for example, [4, pp. 313–317]) concerning the conformal curvature tensor and the spectrum of the Laplacian acting on $p$ $(0\le p\le 2)$-forms on the manifold by using the traceless component. (English) |
| Keyword:
|
Kähler manifold |
| Keyword:
|
conformal tensor field |
| Keyword:
|
trace decomposition |
| Keyword:
|
concircular transformation |
| Keyword:
|
spectrum |
| MSC:
|
53C55 |
| MSC:
|
58J50 |
| idZBL:
|
Zbl 1164.53382 |
| idMR:
|
MR2261658 |
| . |
| Date available:
|
2009-09-24T11:38:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128111 |
| . |
| 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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