Poincaré-Lelong equation via the Hodge Laplace heat equation

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

In this article we start a new approach of solving the Poincar\'e-Lelong
equation via the large time study of the Hodge Laplace heat equation on
$(1,1)$-forms. After a general theorem we construct the solution under three
different assumptions.

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