Abstract
AbstractLet (M, g) be an incomplete Riemannian manifold of finite volume and let $$2\le p<\infty $$
2
≤
p
<
∞
. In the first part of this paper we prove that under certain assumptions the inclusion of the space of $$L^p$$
L
p
-differential forms into that of $$L^2$$
L
2
-differential forms gives rise to an injective/surjective map between the corresponding $$L^p$$
L
p
and $$L^2$$
L
2
cohomology groups. Then in the second part we provide various applications of these results to the curvature and the intersection cohomology of compact Thom–Mather stratified pseudomanifolds and complex projective varieties with only isolated singularities.
Funder
Università degli Studi di Roma La Sapienza
Publisher
Springer Science and Business Media LLC