Growth of weighted volume and some applications

Mirjana Milijević; Luis P. Yapu

Archivum Mathematicum (2020)

  • Volume: 056, Issue: 1, page 1-10
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Milijević, Mirjana, and Yapu, Luis P.. "Growth of weighted volume and some applications." Archivum Mathematicum 056.1 (2020): 1-10. <http://eudml.org/doc/295084>.

@article{Milijević2020,
abstract = {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.},
author = {Milijević, Mirjana, Yapu, Luis P.},
journal = {Archivum Mathematicum},
keywords = {volume growth; parabolic manifolds; weighted parabolic manifolds},
language = {eng},
number = {1},
pages = {1-10},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Growth of weighted volume and some applications},
url = {http://eudml.org/doc/295084},
volume = {056},
year = {2020},
}

TY - JOUR
AU - Milijević, Mirjana
AU - Yapu, Luis P.
TI - Growth of weighted volume and some applications
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 1
SP - 1
EP - 10
AB - 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.
LA - eng
KW - volume growth; parabolic manifolds; weighted parabolic manifolds
UR - http://eudml.org/doc/295084
ER -

References

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