Accession Number : AD0623274

Title :   ABELIAN GROUPS OF HYPERSURFACES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Edelen,Dominic G. B.

Report Date : OCT 1965

Pagination or Media Count : 68

Abstract : Results are presented of the study of Abelian groups of hypersurfaces (i.e., hypersurfaces that form the cross sections of a one parameter group of point transformations in an n-dimensional metric space). Part one obtains the basic defining differential equations of the Abelian group of hypersurfaces; part two examines critical points in the enveloping n-dimensional space that belong to two or more distinct hypersurfaces of the group; and part three obtains the images of the first and second fundamental forms and the field of normal vectors of a given hypersurface when it is imbedded in an Abelian group of hypersurfaces. (Author)

Descriptors :   (*GROUPS(MATHEMATICS), DIFFERENTIAL GEOMETRY), (*DIFFERENTIAL GEOMETRY, GROUPS(MATHEMATICS)), VECTOR ANALYSIS, TRANSFORMATIONS(MATHEMATICS), FUNCTIONAL ANALYSIS, PHYSICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE