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- W3081578052 abstract "The main result of this paper is that one cannot hear orientability of a surface with boundary. More precisely, we construct two isospectral flat surfaces with boundary with the same Neumann spectrum, one orientable, the other non-orientable. For this purpose, we apply Sunada's and Buser's methods in the framework of orbifolds. Choosing a symmetric tile in our construction, and adapting a folklore argument of Fefferman, we also show that the surfaces have different Dirichlet spectra. These results were announced in the {it C. R. Acad. Sci. Paris Ser. I Math.}, volume 320 in 1995, but the full proofs so far have only circulated in preprint form." @default.
- W3081578052 created "2020-09-08" @default.
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- W3081578052 date "2021-01-01" @default.
- W3081578052 modified "2023-09-25" @default.
- W3081578052 title "One can't hear orientability of surfaces" @default.
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