### Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.

Jentsch, Lothar, Natroshvili, David (1999)

Memoirs on Differential Equations and Mathematical Physics

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Jentsch, Lothar, Natroshvili, David (1999)

Memoirs on Differential Equations and Mathematical Physics

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Fradelizi, Matthieu (1999)

Beiträge zur Algebra und Geometrie

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Jiří Jarušek (1983)

Czechoslovak Mathematical Journal

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Paul Goodey (2009)

Banach Center Publications

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We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur...

Eugenia Saorín (2009)

Banach Center Publications

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We consider the problem of classifying the convex bodies in the 3-dimensional space depending on the differentiability of their associated quermassintegrals with respect to the one-parameter-depending family given by the inner/outer parallel bodies. It turns out that this problem is closely related to some behavior of the roots of the 3-dimensional Steiner polynomial.

Lindquist, Norman F. (1975)

Portugaliae mathematica

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Craioveanu, Mircea, Marchiafava, Stefano, Puta, Mircea (1997)

General Mathematics

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Zhang, Gaoyong (1999)

Annals of Mathematics. Second Series

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Boltyanski, V., Martini, H. (1999)

Beiträge zur Algebra und Geometrie

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Christoph Haberl (2012)

Journal of the European Mathematical Society

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All continuous Minkowski valuations which are compatible with the special linear group are completely classiﬁed. One consequence of these classiﬁcations is a new characterization of the projection body operator.

David G. Larman (2009)

Banach Center Publications

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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.

Hausel, T., Makai, E., Szücs, A. (1997)

General Mathematics

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