Growth of weighted volume and some applications

Milijević, Mirjana   ; Yapu, Luis P.

Archivum mathematicum, Tome 56 (2020) no. 1, pp. 1-10

Abstract (VO)

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.

Détail

DOI : 10.5817/AM2020-1-1

Classification : 53C20, 53C21
Keywords: volume growth; parabolic manifolds; weighted parabolic manifolds

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