EXTERIOR CALCULUS ON MODULES

Abstract

An exterior calculus is defined on an arbitrary module over a commutative ring with unit, which reduces to the classical exterior calculus with polynomial coefficients in case the module is a real finite-dimensional vector space. Analogs of the Poincare lemma and the existence theorem for conservation laws are proved, the latter by means of an explicit representation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0282337

Entities

People

  • Howard Osborn

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Calculus
  • Coefficients
  • Mathematics
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Software Engineering

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers