Resumen de On weakly eutactic forms

Anne-Marie Bergé, Jacques Martinet

• 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