Accession Number : AD0678319

Title :   GRASSMANN ANGLES OF CONVEX POLYTOPES.

Descriptive Note : Technical rept.,

Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s) : Grunbaum,Branko

Report Date : SEP 1968

Pagination or Media Count : 18

Abstract : Using integration over Grassmann manifolds a family of numerical characteristics is associated with every convex polytope or polyhedral cone; special cases of the new characteristics are the much studied 'solid angles,' 'angle deficiencies,' and 'exterior angles'. Euler-type equations are established for the new entities, explaining the similarities previously noted in the special cases. (Author)

Descriptors :   (*CONVEX SETS, THEOREMS), COMBINATORIAL ANALYSIS, CONICAL BODIES, PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE