Abstract
AbstractIn this paper, we develop a method of solving the Poincaré–Lelong equation, mainly via the study of the large time asymptotics of a global solution to the Hodge–Laplace heat equation on$(1, 1)$-forms. The method is effective in proving an optimal result when$M$has nonnegative bisectional curvature. It also provides an alternate proof of a recent gap theorem of the first author.
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