The Hodge-de Rham Decomposition Theorem And Some Applications Pertaining to Partial Differential Equations

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

The Hodge-de Rham Theorem is introduced and discussed. This result has
implications for the general study of several partial differential equations.
Some propositions which have applications to the proof of this theorem are used
to study some related results concerning a class of partial differential
equation in a novel way.

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