SOME RESULTS IN THE CLASSIFICATION THEORY OF RIEMANNIAN MANIFOLDS.

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0815996

Entities

People

  • Richard Katz

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Classification
  • Complex Variables
  • Defects (Materials)
  • Inclusions

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra
  • Regression Analysis.