A NEW TYPE OF VECTOR FIELD AND INVARIANT DIFFERENTIAL SYSTEMS

Abstract

The concept has been introduced of tangent vector fields on the space of maps of one manifold into another. A special type of these are the "k vector fields" of which the author previously defined the bracket and exponential. This paper explores further the analogy with classical continuous groups. Specifically, this treats systems of partial differential equations under k-vector fields.

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Document Details

Document Type
Technical Report
Publication Date
Jan 08, 1963
Accession Number
AD0402804

Entities

People

  • H. H. Johnson

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

  • Cauchy Problem
  • Contracts
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Governments
  • Integrals
  • Invariance
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • Space