| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Fed ABC, CMCC, Ave Estados, 5001, BR-09210580 Santo Andre, SP - Brazil
[2] Univ Fed Amazonas, Dept Matemat, Ave Gen Rodrigo Octavio, 6200, BR-69080900 Manaus, AM - Brazil
[3] Lehigh Univ, Dept Math, Christmas Saucon Hall, 14 East Packer Ave, Bethlehem, PA 18015 - USA
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 29, n. 4, p. 3124-3134, DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we establish a kind of splitting theorem for the eigenvalues of a specific family of operators on the base of a warped product. As a consequence, we prove a density theorem for a set of warping functions that makes the spectrum of the Laplacian a warped-simple spectrum. This is then used to study the generic situation of the eigenvalues of the Laplacian on a class of compact G-manifolds. In particular, we give a partial answer to a question posed in 1990 by Steven Zelditch about the generic situation of multiplicity of the eigenvalues of the Laplacian on principal bundles. (AU) | |
| FAPESP's process: | 16/10009-3 - On eigenvalues of Laplacian in kahler manifolds |
| Grantee: | Marcus Antonio Mendonça Marrocos |
| Support Opportunities: | Scholarships abroad - Research |