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On weakly eutactic forms |
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| Authors: | Berge Anne-Marie; Martinet Jacques |
| Institution: | A2X, Institut de Mathématiques Université Bordeaux 1 351, cours de la Libération 33405 Talence cedex France berge{at}math.u-bordeaux.fr martinet{at}math.u-bordeaux.fr |
| Abstract: | We make precise some properties of the Hermite function in relationwith the Morse theory introduced by Avner Ash in his papers‘On eutactic forms’,Canad. J. Math. 29 (1977) 1040–1054and ‘On the existence of eutactic forms’,Bull. LondonMath. Soc. 12 (1980) 192–196, and with the cellular decompositionof the space of positive definite quadratic forms. We also establisha link between Ash's and Bavard's mass formulae. |
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