
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 ndimensional metric space). Part one obtains the basic defining differential equations of the Abelian group of hypersurfaces; part two examines critical points in the enveloping ndimensional 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