| Title:
|
Growth of weighted volume and some applications (English) |
| Author:
|
Milijević, Mirjana |
| Author:
|
Yapu, Luis P. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
1-10 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We define cut-off functions in order to allow higher growth for Dirichlet energy. Our results are generalizations of the classical Cheng-Yau’s growth conditions of parabolicity. Finally we give some applications to the function theory of Kähler and quaternionic-Kähler manifolds. (English) |
| Keyword:
|
volume growth |
| Keyword:
|
parabolic manifolds |
| Keyword:
|
weighted parabolic manifolds |
| MSC:
|
53C20 |
| MSC:
|
53C21 |
| idZBL:
|
Zbl 07177875 |
| idMR:
|
MR4075883 |
| DOI:
|
10.5817/AM2020-1-1 |
| . |
| Date available:
|
2020-03-02T09:02:10Z |
| Last updated:
|
2020-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148029 |
| . |
| Reference:
|
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