Isospectral Metrics on Five-Dimensional Spheres

Schueth, Dorothee

J. Differential Geom., Tome 57 (2001) no. 2, p. 87-111 / Harvested from Project Euclid

Résumé

We construct isospectral pairs of Riemannian metrics on S⁵ and on B⁶, thus lowering by three the minimal dimension of spheres and balls on which such metrics have been constructed previously (S^n≥8 and B^n≥9). We also construct continuous families of isospectral Riemannian metrics on S⁷ and on B⁸. In each of these examples, the metrics can be chosen equal to the standard metric outside certain subsets of arbitrarily small volume.

Publié le : 2001-05-14
Classification:

@article{1090348283,
     author = {Schueth, Dorothee},
     title = {Isospectral Metrics on Five-Dimensional Spheres},
     journal = {J. Differential Geom.},
     volume = {57},
     number = {2},
     year = {2001},
     pages = { 87-111},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090348283}
}

Schueth, Dorothee. Isospectral Metrics on Five-Dimensional Spheres. J. Differential Geom., Tome 57 (2001) no. 2, pp.  87-111. http://gdmltest.u-ga.fr/item/1090348283/