Hamilton and Cartan complex spaces
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.
KeywordsComplex Manifold Finsler Space Hermitian Structure Local Chart Holomorphic Sectional Curvature
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