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Variational character of the Cauchy-Riemann equations.
- Source :
- Forum Mathematicum; 2006, Vol. 18 Issue 2, p231-243, 13p
- Publication Year :
- 2006
-
Abstract
- Cauchy-Riemann equations for smooth maps ϕ: ℂ → ℂ<superscript> k</superscript> are proved to be of variational type if and only if k is even. This fact is seen to be related to a complex differential form of degree (3, 0) on ℂ × ℂ<superscript> k</superscript>, which exists only for an even k. The Lie algebra of infinitesimal symmetries of the Hamiltonian structure associated with Cauchy-Riemann equations is also determined. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 18
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 22382953
- Full Text :
- https://doi.org/10.1515/FORUM.2006.014