Principal Forms and Fields on Riemannian Spaces

  • Burton Rodin
  • Leo Sario
Part of the The University Series in Higher Mathematics book series (USHM)


Having discussed various aspects of the normal operator method on Riemann surfaces, and consequently on 2-dimensional Riemannian spaces, we now turn to their counterparts on higher dimensional Riemannian spaces. As far as functions, i.e. 0-forms, are concerned, it is plausible that all results thus far discussed, save those involving complex analyticity, can be reproduced for higher dimensions. That this is actually the case is shown in §1.


Harmonic Function Riemann Surface Harmonic Measure Riemannian Space Harmonic Form 


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Copyright information

© D. Van Nostrand Company, Inc. 1968

Authors and Affiliations

  • Burton Rodin
    • 1
  • Leo Sario
    • 2
  1. 1.University of CaliforniaSan DiegoUSA
  2. 2.University of CaliforniaLos AngelesUSA

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