… for the isospectrality of two Hantzsche Wendt manifolds (Prop. 3.3) and by a geometric
argument, we will prove that for any odd, 7, there exist many pairs of isospectral manifolds all not …

… flat manifolds, … -isospectral n-manifolds, pairwise nonhomeomorphic to each other. In
particular we will describe a subfamily of the so called generalized Hantzsche–Wendt flat manifolds …

… (n > 4) with holonomy group Z2, which can be seen as analogues of the well known pairs
of isospectral, non-isometric tori. In 4.4 we discuss the case of Hantzsche-Wendt manifolds, …

… − In the context of Hantzsche–Wendt manifolds, we consider four 7-manifolds and determine
the twisted isospectral pairs among them for several choices of unitary characters χ of F ≃ …

… isospectral pair cannot exist among 3-dimensional flat tori. An interesting subfamily of the
manifolds of diagonal type are the HantzscheWendt … out that Hantzsche-Wendt manifolds also …

… -dimensional manifolds with holonomy group \({{\mathrm{\mathbb {Z}}}}_2^{n-1}\), a
generalisation of the original Hantzsche-Wendt manifold which is the unique 3-dimensional manifold …

… When p = 0 we will usually say the manifolds are isospectral on functions or just isospectral.
… for fiat manifolds one can hear orientability, ie, two isospectral fiat manifolds are necessarily …

… of the oriented flat 3-manifold with non-cyclic holonomy, … Hantzsche-Wendt groups/manifolds
are also defined in higher odd dimensions, as fundamental groups of oriented flat manifolds …

… of compact flat manifolds that are Sunada isospectral –hence strongly isospectral– but still
their … , for instance the two different Hantzsche–Wendt manifolds in dimension n = 5 (see [8]). …

… 2 manifolds which do not satisfy other types of isospectrality. In … family of Dirac isospectral
compact flat n-manifolds, pairwise … Dirac isospectrality with other types of isospectrality (see …