On space forms of real Grassmann manifolds which are isospectral but not isometric

Space Forms of Grassmann Manifolds

Zk 2-MANIFOLDS ARE ISOSPECTRAL ON FORMS.

Orbifold Lens Spaces That Are Isospectral but Not Isometric

We answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the negative for orbifolds that are spherical space forms. This is done by extending the techniques developed by A. Ikeda on Lens Spaces to the orbifold setting. Several results are proved to show that with certain restrictions on the dimensionalities of orbifold Lens spaces we can obtain infinitely many pairs of i...

Multilinear forms which are products of linear forms

The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.

Constructing 1-cusped Isospectral Non-isometric Hyperbolic 3-manifolds

Abstract. We construct infinitely many examples of pairs of isospectral but non-isometric 1-cusped hyperbolic 3-manifolds. These examples have infinite discrete spectrum and the same Eisenstein series. Our constructions are based on an application of Sunada’s method in the cusped setting, and so in addition our pairs are finite covers of the same degree of a 1-cusped hyperbolic 3-orbifold (inde...