Geometriae Dedicata

, Volume 197, Issue 1, pp 107–122 | Cite as

The spectrum on p-forms of a lens space

  • Emilio A. LauretEmail author
Original Paper


We give an explicit description of the spectrum of the Hodge–Laplace operator on p-forms of an arbitrary lens space for any p. We write the two generating functions encoding the p-spectrum as rational functions. As a consequence, we prove a geometric characterization of lens spaces that are p-isospectral for every p in an interval of the form \([0,p_0]\).


Spectrum Lens space Isospectrality One-norm 

Mathematics Subject Classification (2010)

58J50 58J53 


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Authors and Affiliations

  1. 1.Institut für MathematikHumboldt Universität zu BerlinBerlinGermany
  2. 2.CIEM–FaMAF (CONICET)Universidad Nacional de CórdobaCórdobaArgentina

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