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

dc.contributor.author	Aino, Masayuki
dc.date.accessioned	2025-12-25T13:21:31Z
dc.date.issued	2021
dc.description.abstract	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.
dc.description.sponsorship	I am grateful to Professor Shouhei Honda for helpful discussions. I also thank Professor Dario Trevisan for answering my questions about the regular Lagrangian flow. I wish to thank the referees for their careful reading of the paper and for making valuable suggestions. This work was supported by the RIKEN Special Postdoctoral Researcher Program.
dc.identifier.citation	Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian. Masayuki Aino. SIGMA 17 (2021), 017, 29 pages
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2021.017
dc.identifier.issn	1815-0659
dc.identifier.other	2020 Mathematics Subject Classification: 53C20; 58J50
dc.identifier.other	arXiv:2007.07491
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/211171
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian
dc.type	Article

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