Accession Number : AD0815996

Title :   SOME RESULTS IN THE CLASSIFICATION THEORY OF RIEMANNIAN MANIFOLDS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Katz, Richard

Report Date : JUN 1967

Pagination or Media Count : 47

Abstract : Classification theory deals with the problem of deciding which Riemann surfaces or Riemannian manifolds can carry nonconstant analytic or harmonic functions with certain restrictive properties. Depending on these properties, the author defines various 'null classes' of manifolds and considers their function-theoretic and metric characteristics as well as inclusion relations between them. (Author)

Descriptors :   (*COMPLEX VARIABLES, POTENTIAL THEORY), (*ANALYTIC FUNCTIONS, COMPLEX VARIABLES), ALGEBRAIC TOPOLOGY, BOUNDARY VALUE PROBLEMS, INTEGRALS, MEASURE THEORY, ALGEBRA, INEQUALITIES, GREEN'S FUNCTION, DIFFERENTIAL GEOMETRY.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE