4 papers
Polar Varieties in Cayley-Klein Spaces
Fahimeh Heidari, Bijan Honari
In this paper, we introduce the notion of a total polar for an arbitrary subspace of a Cayley-Klein space in an analytical framework. We show that the set of all total polars of a…
Harmonic-Counting Measures and Spectral Theory of Lens Spaces
H. Mohades, B. Honari
In this article, associated with each lattice the concept of a harmonic-counting measure on a sphere is introduced and it is applied to de…
Hearing the Symmetries of Crystal Lattices from the Integrated Acoustic Spectrum
B. Honari, H. Mohades
Let be a crystal and be a periodic realization of it in , also let be the lattice group of which preserves the covering space nature of crystal lat…
On a Relation between Spectral Theory of Lens Spaces and Ehrhart Theory
H. Mohades, B. Honari
In this article Ehrhart quasi-polynomials of simplices are employed to determine isospectral lens spaces in terms of a finite set of numbers. Using the natural lattice associated w…