Diffeogical Smoothness in Hodge Theory

Details Diffeogical Smoothness in Hodge Theory Diffeogical Smoothness in Hodge Theory

2009-11-16

arxiv.org/abs/0911.3152v1

Mathematics

Differential Geometry

8 pages

Scientific paper

On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem
associates a smooth primitive to any exact smooth form omega. In this paper, we
show that given a smooth family of exact smooth forms omega(t), the family of
associated primitives is also a smooth family with respect to t.

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