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 𝑆ⁿ⁻ᵖ × 𝑆ᵖ 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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Author: Aino, Masayuki
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211171
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian. Masayuki Aino. SIGMA 17 (2021), 017, 29 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine