Accession Number : AD0721319

Title :   Research in the Theory of Riemann Surfaces.

Descriptive Note : Final rept. 1 Oct 61-3 Nov 70,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Royden,Halsey

Report Date : 1970

Pagination or Media Count : 8

Abstract : The report presents a final summary of and a listing of reports generated under, a study of Riemann surfaces; the relationship between differential-geometric and function-theoretic properties, with applications and extensions to minimal surfaces and Riemannian manifolds; a study of the moduli of Riemann surfaces; quasi-conformal mappings between Riemann surfaces; the variational theory of Riemann surfaces; and applications of abstract analysis to the theory of Riemann surfaces. (Author)

Descriptors :   (*COMPLEX VARIABLES, SURFACES), (*DIFFERENTIAL GEOMETRY, REPORTS), ANALYTIC FUNCTIONS, CONFORMAL MAPPING, ALGEBRAIC TOPOLOGY, RINGS(MATHEMATICS), MEROMORPHIC FUNCTIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE