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Hamilton and Cartan complex spaces

  • Gheorghe Munteanu
Part of the Fundamental Theories of Physics book series (FTPH, volume 141)

Abstract

The study of the real Hamilton geometry was initiated by R. Miron, [Mi5, Mi6], as a necessity of creating a geometrical model in the study of Hamilton mechanics. The support of this geometry is the cotangent bundle of a manifold. Imposing conditions of homogeneity for Hamiltonian metrics are obtained the Cartan spaces, which are analogous to Finsler spaces on the cotangent bundle. The results in this domain are numerous and of interest for applications. The monograph [MS], recently published, studies the problematic of the real Hamiltonian spaces.

Keywords

Complex Manifold Finsler Space Hermitian Structure Local Chart Holomorphic Sectional Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Gheorghe Munteanu
    • 1
  1. 1.Faculty of Mathematics and Informatics“Transilvania” University of BraşovBraşovRomania

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