• Corpus ID: 16247658

Poincare duality angles for Riemannian manifolds with boundary

@article{Shonkwiler2009PoincareDA,
  title={Poincare duality angles for Riemannian manifolds with boundary},
  author={Clayton Shonkwiler},
  journal={arXiv: Differential Geometry},
  year={2009}
}
  • C. Shonkwiler
  • Published 10 September 2009
  • Mathematics
  • arXiv: Differential Geometry
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear as certain subspaces of harmonic forms. DeTurck and Gluck showed that these concrete realizations of the cohomology groups decompose into orthogonal subspaces corresponding to cohomology coming from the interior and boundary of the manifold. The principal angles between these interior subspaces are all acute and are called Poincare duality angles. This paper determines the Poincare duality angles… 

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