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

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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.
DOI : 10.5817/AM2020-1-1
Classification : 53C20, 53C21
Keywords: volume growth; parabolic manifolds; weighted parabolic manifolds 
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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. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-1-1/

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