Constructs a vector field-induced de Rham-Hodge theory on compact oriented manifolds, proving ellipticity of the induced Laplacian and Hodge decompositions for closed manifolds and with boundary under specific conditions.
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A vector field induced de Rham-Hodge theory on manifolds
Constructs a vector field-induced de Rham-Hodge theory on compact oriented manifolds, proving ellipticity of the induced Laplacian and Hodge decompositions for closed manifolds and with boundary under specific conditions.