Hyperplane sections of convex bodies in isotropic position.
Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
Similarity:
Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
Similarity:
Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Lindquist, Norman F. (1975)
Portugaliae mathematica
Similarity:
Paul Goodey (2009)
Banach Center Publications
Similarity:
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...
David G. Larman (2009)
Banach Center Publications
Similarity:
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.
Reuven Segev (1997)
Extracta Mathematicae
Similarity:
This work presents a setting for the formulation of the mechanics of growing bodies. By the mechanics of growing bodies we mean a theory in which the material structure of the body does not remain fixed. Material points may be added or removed from the body.
Rafik Aramyan (2016)
Applications of Mathematics
Similarity:
It is known that a local equatorial characterization of zonoids does not exist. The question arises: Is there a subclass of zonoids admitting a local equatorial characterization. In this article a sufficient condition is found for a centrally symmetric convex body to be a zonoid. The condition has a local equatorial description. Using the condition one can define a subclass of zonoids admitting a local equatorial characterization. It is also proved that a convex body whose boundary is...
Brehm, Ulrich, Voigt, Jürgen (2000)
Beiträge zur Algebra und Geometrie
Similarity:
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
Similarity:
Zhang, Gaoyong (1999)
Annals of Mathematics. Second Series
Similarity:
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
Similarity:
Meckes, Mark W. (2009)
Beiträge zur Algebra und Geometrie
Similarity:
Lindquist, Norman F. (1975)
Portugaliae mathematica
Similarity: