Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian

Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian

We show a Gromov-Hausdorff approximation to the product of the standard spheres for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms.

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2021-01
1. Verfasser: Aino, Masayuki
Format: Artikel
Sprache:eng
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Zusammenfassung:We show a Gromov-Hausdorff approximation to the product of the standard spheres for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2021.017