Geodesic
Growth of weighted volume and some applications
Archivum mathematicum, Tome 56 (2020) no. 1, pp. 1-10

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.5817/AM2020-1-1
Classification : 53C20, 53C21
Keywords: volume growth; parabolic manifolds; weighted parabolic manifolds 
@article{10_5817_AM2020_1_1,
     author = {Milijevi\'c, Mirjana and Yapu, Luis P.},
     title = {Growth of weighted volume and some applications},
     journal = {Archivum mathematicum},
     pages = {1--10},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {2020},
     doi = {10.5817/AM2020-1-1},
     mrnumber = {4075883},
     zbl = {07177875},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2020-1-1/}
}
TY  - JOUR
AU  - Milijević, Mirjana
AU  - Yapu, Luis P.
TI  - Growth of weighted volume and some applications
JO  - Archivum mathematicum
PY  - 2020
SP  - 1
EP  - 10
VL  - 56
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2020-1-1/
DO  - 10.5817/AM2020-1-1
LA  - en
ID  - 10_5817_AM2020_1_1
ER  - 
%0 Journal Article
%A Milijević, Mirjana
%A Yapu, Luis P.
%T Growth of weighted volume and some applications
%J Archivum mathematicum
%D 2020
%P 1-10
%V 56
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2020-1-1/
%R 10.5817/AM2020-1-1
%G en
%F 10_5817_AM2020_1_1
Milijević, Mirjana; Yapu, Luis P. Growth of weighted volume and some applications. Archivum mathematicum, Tome 56 (2020) no. 1, pp. 1-10. doi: 10.5817/AM2020-1-1

Cité par Sources :