Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-28T11:36:11.998Z Has data issue: false hasContentIssue false

Fatigue Spaces in Electromagnetic-Gravitational Theory

Published online by Cambridge University Press:  20 November 2018

M.A. McKiernan*
Affiliation:
University of Waterloo
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In an n-dimensional manifold Vn, coordinates xi for i = 1, …, n, let each curve x(t) for t0≤t≤t1 of class C1 define a corresponding λ by means of the integral equation

1

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Bliss, G. A., Lectures on the Calculus of Variations. Univ. of Chicago Press, Chicago, (1946).Google Scholar
2. McKiernan, M.A., A General Hamilton-Jacobi Equation and Associated Problem of Lagrange. Canad. Math. Bulletin, vol. 8, no. 3, (1965), pages 317-321.Google Scholar
3. Bazinet, J., Finsler Fatigue Geometry. Thesis, Univ. of Waterloo, (1965-6).Google Scholar
4. McKiernan, M.A., A Differential Geometry Associated with Dissipative Systems. Canad. Math. Bulletin, vol. 8, no. 4, (1965), pages 433-451.Google Scholar
5. Landau, L. and Lifshitz, E., Classical Theory of Fields. Addison- Wesley, (1951).Google Scholar
6. Eisenhart, L.P., Continuous Groups of Transformations. Dover, (1961).Google Scholar
7. Pauli, W., Theory of Relativity. Pergammon Press, (1958).Google Scholar
8. Bergmann, P.G., Introduction to the Theory of Relativity. Prentice Hall, (1942).Google Scholar