| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] CUNY, Dept Math, Lehman Coll, 250 Bedford Pk Blvd W, Bronx, NY 10468 - USA
[2] Univ Nacl Sur UNS, Inst Matemat Bahia Blanca INMABB, Dept Matemat, CONICET, Av Alem 1255, B8000CPB, Bahia Blanca, Buenos Aires - Argentina
[3] Univ Sao Paulo, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 32, n. 3 MAR 2022. |
| Web of Science Citations: | 1 |
| Abstract | |
We provide explicit formulae for the first eigenvalue of the Laplace-Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequences, we prove that homogeneous metrics on CROSSes are isospectral if and only if they are isometric, and also discuss their stability (or lack thereof) as solutions to the Yamabe problem. (AU) | |
| FAPESP's process: | 19/19891-9 - Minimal spheres in ellipsoids |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 19/09045-3 - Geometry and dynamics between São Paulo and New York |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |