An upper estimation for the eigenfrequencies of vibrating Liapunoff bodies (first boundary value problem).

Joo, I.; Stacho, L.L.

Displaying similar documents to “An upper estimation for the eigenfrequencies of vibrating Liapunoff bodies (first boundary value problem).”

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E. Ossanna (1992)

Rendiconti del Seminario Matematico della Università di Padova

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On set covariance and three-point test sets

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The information contained in the measure of all shifts of two or three given points contained in an observed compact subset of $ℝ^{d}$ is studied. In particular, the connection of the first order directional derivatives of the described characteristic with the oriented and the unoriented normal measure of a set representable as a finite union of sets with positive reach is established. For smooth convex bodies with positive curvatures, the second and the third order directional derivatives...

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Carlo-Romano Grisanti (2001)

Rendiconti del Seminario Matematico della Università di Padova

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Scalar curvature of definable Alexandrov spaces.

Bernig, Andreas (2002)

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Curvature bounds for neighborhoods of self-similar sets

Steffen Winter (2011)

Commentationes Mathematicae Universitatis Carolinae

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In some recent work, fractal curvatures $C_{k}^{f} (F)$ and fractal curvature measures $C_{k}^{f} (F, \cdot)$ , $k = 0, ..., d$ , have been determined for all self-similar sets $F$ in $ℝ^{d}$ , for which the parallel neighborhoods satisfy a certain regularity condition and a certain rather technical curvature bound. The regularity condition is conjectured to be always satisfied, while the curvature bound has recently been shown to fail in some concrete examples. As a step towards a better understanding of its meaning, we discuss several equivalent...