THE GENERALIZATION OF HAMILTON'S MECHANICS. I. THEORY OF HOMOGENEOUS CONTACT TRANSFORMATIONS,

Abstract

Hamilton's mathematical theory of mechanics has been recast into a new form, based on the homogeneous contact transformation. A method has been found for representing analytically a certain class of geometries associated with groups of transformations including homogeneous contact transformations. All these transformations are characterized by the fact that they leave invariant a particular constant tensor; the representation of the identical transformation completes the basis of the gedometry. Tensor analysis has been developed and provides the framework for a more extensive physical theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 06, 1965
Accession Number
AD0614029

Entities

People

  • D. Jane Roberg

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Algebra
  • Geometry
  • Linear Algebra
  • Mathematics
  • Mechanics
  • Physical Theories
  • Tensor Analysis
  • Tensors

Readers

  • Calculus or Mathematical Analysis