For a given centred convex body K in the n dimensional Euclidean space, we consider the class of all convex bodies with the same projection body as K. The question whether K can be expressed as a Blaschke average of two non-homothetic bodies from this class is considered. Necessary and sufficient conditions on K to be Blaschke decomposable are given.
Blaschke-decomposable convex bodies / S. CAMPI; A. COLESANTI; P. GRONCHI. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - STAMPA. - 105:(1998), pp. 185-195.
Blaschke-decomposable convex bodies
COLESANTI, ANDREA;GRONCHI, PAOLO
1998
Abstract
For a given centred convex body K in the n dimensional Euclidean space, we consider the class of all convex bodies with the same projection body as K. The question whether K can be expressed as a Blaschke average of two non-homothetic bodies from this class is considered. Necessary and sufficient conditions on K to be Blaschke decomposable are given.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
