Isospectral spherical space forms and orbifolds of highest volume

• Alfredo Álzaga ^[1] ; Emilio A. Lauret ^[1]
  1. [1] Universidad Nacional del Sur

     Universidad Nacional del Sur

     Argentina

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 69, Nº. 1, 2026, págs. 71-91
• Idioma: inglés
• DOI: 10.33044/revuma.4943
• Enlaces
  • Texto completo
• Referencias bibliográficas
  • N. S. Bari and E. Hunsicker, Isospectrality for orbifold lens spaces, Canad. J. Math. 72 no. 2 (2020), 281–325. DOI MR Zbl
  • A. Bartel and A. Page, Vignéras orbifolds: Isospectrality, regulators, and torsion homology, 2024. arXiv:2407.07240 [NT].
  • M. Belolipetsky, Hyperbolic orbifolds of small volume, in Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. II,...
  • R. Brooks and R. Tse, Isospectral surfaces of small genus, Nagoya Math. J. 107 (1987), 13–24. DOI MR Zbl
  • P. Buser, Geometry and spectra of compact Riemann surfaces, Progr. Math. 106, Birkhäuser Boston, Boston, MA, 1992, reprinted: Mod. Birkhäuser...
  • J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, third ed., Grundlehren Math. Wiss. 290, Springer, New York, 1999....
  • C. Gordon, Orbifolds and their spectra, in Spectral geometry, Proc. Sympos. Pure Math. 84, American Mathematical Society, Providence, RI,...
  • A. Ikeda, On lens spaces which are isospectral but not isometric, Ann. Sci. École Norm. Sup. (4) 13 no. 3 (1980), 303–315. DOI MR Zbl
  • A. Ikeda, On the spectrum of a Riemannian manifold of positive constant curvature, Osaka J. Math. 17 no. 1 (1980), 75–93. DOI MR Zbl
  • A. Ikeda, On the spectrum of a Riemannian manifold of positive constant curvature. II, Osaka J. Math. 17 no. 3 (1980), 691–702. DOI MR ...
  • A. Ikeda and Y. Yamamoto, On the spectra of3 dimensional lens spaces, Osaka J. Math. 16 no. 2 (1979), 447–469. DOI MR Zbl
  • E. A. Lauret, Spectra of orbifolds with cyclic fundamental groups, Ann. Global Anal. Geom. 50 no. 1 (2016), 1–28. DOI MR Zbl
  • E. A. Lauret and B. Linowitz, The spectral geometry of hyperbolic and spherical manifolds: Analogies and open problems, New York J. Math....
  • E. A. Lauret, R. J. Miatello, and J. P. Rossetti, Recent results on the spectra of lens spaces, São Paulo J. Math. Sci. 15 no. 1 (2021), 240–267....
  • B. Linowitz and J. Voight, Small isospectral and nonisometric orbifolds of dimension 2 and 3, Math. Z. 281 no. 1-2 (2015), 523–569. DOI ...
  • J. Milnor, Eigenvalues of the Laplace operator on certain manifolds, Proc. Nat. Acad. Sci. U.S.A. 51 (1964), 542. DOI MR Zbl
  • E. Nilsson, J. Rowlett, and F. Rydell, The isospectral problem for flat tori from three perspectives, Bull. Amer. Math. Soc. (N.S.) 60 no....
  • H. Pesce, Variétés hyperboliques et elliptiques fortement isospectrales, J. Funct. Anal. 134 no. 2 (1995), 363–391. DOI MR Zbl
  • J. P. Rossetti, D. Schueth, and M. Weilandt, Isospectral orbifolds with different maximal isotropy orders, Ann. Global Anal. Geom. 34 no....
  • A. Schiemann, Ein Beispiel positiv definiter quadratischer Formen der Dimension 4mit gleichen Darstellungszahlen, Arch. Math. (Basel) 54 no....
  • A. Schiemann, Ternary positive definite quadratic forms are determined by their theta series, Math. Ann. 308 no. 3 (1997), 507–517. DOI ...
  • T. Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. (2) 121 no. 1 (1985), 169–186. DOI MR Zbl
  • J. J. Vásquez, Isospectral nearly Kähler manifolds, Abh. Math. Semin. Univ. Hambg. 88 no. 1 (2018), 23–50. DOI MR Zbl
  • M.-F. Vignéras, Variétés riemanniennes isospectrales et non isométriques, Ann. of Math. (2) 112 no. 1 (1980), 21–32. DOI MR Zbl
  • J. A. Wolf, Isospectrality for spherical space forms, Results Math. 40 no. 1-4 (2001), 321–338. DOI MR Zbl
  • J. A. Wolf, Spaces of constant curvature, sixth ed., AMS Chelsea Publishing, Providence, RI, 2011. DOI MR Zbl