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 ⁿ⁻ᵖ × ᵖ for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211171 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862535310261354496 |
|---|---|
| author | Aino, Masayuki |
| author_facet | Aino, Masayuki |
| citation_txt | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian. Masayuki Aino. SIGMA 17 (2021), 017, 29 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show a Gromov-Hausdorff approximation to the product of the standard spheres ⁿ⁻ᵖ × ᵖ for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms.
|
| first_indexed | 2026-03-12T15:42:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211171 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-12T15:42:50Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aino, Masayuki 2025-12-25T13:21:31Z 2021 Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian. Masayuki Aino. SIGMA 17 (2021), 017, 29 pages 1815-0659 2020 Mathematics Subject Classification: 53C20; 58J50 arXiv:2007.07491 https://nasplib.isofts.kiev.ua/handle/123456789/211171 https://doi.org/10.3842/SIGMA.2021.017 We show a Gromov-Hausdorff approximation to the product of the standard spheres ⁿ⁻ᵖ × ᵖ for Riemannian manifolds with positive Ricci curvature under some pinching condition on the eigenvalues of the Laplacian acting on functions and forms. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian Article published earlier |
| spellingShingle | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian Aino, Masayuki |
| title | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian |
| title_full | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian |
| title_fullStr | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian |
| title_full_unstemmed | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian |
| title_short | Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian |
| title_sort | convergence to the product of the standard spheres and eigenvalues of the laplacian |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211171 |
| work_keys_str_mv | AT ainomasayuki convergencetotheproductofthestandardspheresandeigenvaluesofthelaplacian |