| Title:
|
$L^p$ harmonic $1$-form on submanifold with weighted Poincaré inequality (English) |
| Author:
|
Chao, Xiaoli |
| Author:
|
Lv, Yusha |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
195-217 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deal with complete submanifolds with weighted Poincaré inequality. By assuming the submanifold is $\delta $-stable or has sufficiently small total curvature, we establish two vanishing theorems for $L^p$ harmonic $1$-forms, which are extensions of the results of Dung-Seo and Cavalcante-Mirandola-Vitório. (English) |
| Keyword:
|
weighted Poincaré inequality |
| Keyword:
|
$\delta $-stability |
| Keyword:
|
$L^{p}$ harmonic $1$-form |
| Keyword:
|
property $(\mathcal {P}_\rho )$ |
| MSC:
|
53C42 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 06861575 |
| idMR:
|
MR3783593 |
| DOI:
|
10.21136/CMJ.2018.0415-16 |
| . |
| Date available:
|
2018-03-19T10:28:49Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147129 |
| . |
| Reference:
|
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