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.
Differential Geometry and its Applications30(2), 179–194 (2012)
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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.