Osaka Journal of Mathematics

Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals II

Otto Liess and Tetsuya Sonobe
Source: Osaka J. Math. Volume 49, Number 2 (2012), 357-391.

Abstract

In this paper we study geometric properties of the slowness surface of the system of crystal acoustics for cubic crystals in the special case when the stiffness constants satisfy the condition $a = -2b$. The paper is a natural continuation of the paper [9] in which related properties were studied for general constants $a$ and $b$, but assuming that we were in the nearly isotropic case, in which case $a - b$ has to be small. We also take this opportunity to correct a statement made in [9]: see Remark 1.3.

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Primary Subjects: 53A05, 35Q72
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1340197931
Zentralblatt MATH identifier: 06060691
Mathematical Reviews number (MathSciNet): MR2945754

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