The Local Theory of Elliptic Operators and the Hodge Theorem
نویسنده
چکیده
In this paper, we develop the local theory of elliptic operators with a mind to proving the Hodge Decomposition Theorem. We then deduce a few of its corollaries including, for compact, oriented manifolds, Poincaré Duality and finite-dimensionality of the de Rham cohomology groups.
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تاریخ انتشار 2014