Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


$ C\sp \infty$-invariants on loop spaces

Author: Wing Sum Cheung
Journal: Proc. Amer. Math. Soc. 100 (1987), 322-328
MSC: Primary 58D10; Secondary 53C20, 57R42, 58E10
MathSciNet review: 884473
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We compute all the $ {C^\infty }$-invariants on the spaces of immersions $ C_I^\infty ({S^1},S)$ and $ C_I^\infty ({S^1},{{\mathbf{R}}^3})$, where $ S$ is a surface of constant curvature, by using Griffiths' formalism on the calculus of variations via exterior differential systems.

References [Enhancements On Off] (What's this?)

  • [1] R. Bryant, S. S. Chern, and P. Griffiths, Exterior differential systems, Proc. Beijing Sympos. on Differential Geometry and Differential Equations, 1980.
  • [2] E. Cartan, Les systèmes différentielles extérieurs et leurs applications géométriques, Hermann, Paris, 1945.
  • [3] A. P. Stone, Higher order conservation laws, J. Differential Geometry 3 (1969), 447–456. MR 0264536 (41 #9128)
  • [4] Phillip A. Griffiths, Exterior differential systems and the calculus of variations, Progress in Mathematics, vol. 25, Birkhäuser, Boston, Mass., 1983. MR 684663 (84h:58007)
  • [5] Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578 (33 #1797)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58D10, 53C20, 57R42, 58E10

Retrieve articles in all journals with MSC: 58D10, 53C20, 57R42, 58E10

Additional Information

PII: S 0002-9939(1987)0884473-X
Keywords: Trivial Euler-Lagrange equations
Article copyright: © Copyright 1987 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia