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Reduction for the projective arclength functional
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Emilio Musso
Published/Copyright:
July 27, 2005
Abstract
We consider the variational problem for curves in real projective plane defined by the projective arclength functional and discuss the integrability of its stationary curves in a geometric setting. We show how methods from the subject of exterior differential systems and the reduction procedure for Hamiltonian systems with symmetries lead to the integration by quadratures of the extrema. A scheme of integration is illustrated.
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Published Online: 2005-07-27
Published in Print: 2005-05-01
© de Gruyter
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Articles in the same Issue
- Hecke operators on rational functions I
- n-Cotilting and n-tilting modules over ring extensions
- Reduction for the projective arclength functional
- Extensions, dilations and functional models of Dirac operators in limit-circle case
- Numerical constraints for embedded projective manifolds
- Some results on Qp spaces, 0 < p < 1, continued
- On the probabilistic ζ-function of pro(finite-soluble) groups
- Generating automorphism groups of chains
