On weakly eutactic forms

• Autores: Anne-Marie Bergé, Jacques Martinet
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 75, Nº 1, 2007, págs. 187-198
• Idioma: inglés
• DOI: 10.1112/jlms/jdl018
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• Resumen

  • We make precise some properties of the Hermite function in relation with the Morse theory introduced by Avner Ash in his papers ¿On eutactic forms¿,Canad. J. Math. 29 (1977) 1040¿1054 and ¿On the existence of eutactic forms¿,Bull. London Math. Soc. 12 (1980) 192¿196, and with the cellular decomposition of the space of positive definite quadratic forms. We also establish a link between Ash's and Bavard's mass formulae