Diffeological Smoothness in Hodge Theory
Differential Geometry
2024-08-21 v1 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0911.3152,
title = {Diffeological Smoothness in Hodge Theory},
author = {Jiayong Li},
journal= {arXiv preprint arXiv:0911.3152},
year = {2024}
}
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8 pages