GROWTH OF WEIGHTED VOLUME AND SOME APPLICATIONS

被引：0
|
作者：
Milijevic, Mirjana [1 ]
Yapu, Luis P. [1 ]
机构：
[1] Univ Fed Fluminense, Inst Math & Stat, Niteroi, RJ, Brazil
来源：
ARCHIVUM MATHEMATICUM | 2020年 / 56卷 / 01期
关键词：
volume growth; parabolic manifolds; weighted parabolic manifolds; KAHLER-MANIFOLDS; HARMONIC MAPS; CURVATURE; THEOREMS;
D O I：
10.5817/AM2020-1-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Kahler and quaternionic-Kahler manifolds.
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页码：1 / 10
页数：10
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