Geodesic
Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show a Gromov–Hausdorff approximation to the product of the standard spheres $S^{n-p}\times S^p$ for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms.
Keywords: Gromov–Hausdorff distance, Lichnerowicz–Obata estimate, parallel $p$-form. 
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     author = {Masayuki Aino},
     title = {Convergence to the {Product} of the {Standard} {Spheres} and {Eigenvalues} of the {Laplacian}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a16/}
}
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Masayuki Aino. Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a16/

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