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Keywords:
volume growth; parabolic manifolds; weighted parabolic manifolds
volume growth; parabolic manifolds; weighted parabolic manifolds
Summary:
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.
References:
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