Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
type: Item
instance of: scholarly article
title: Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
zbMATH Open document ID: 0861.53070
author: Toshiaki Adachi
published in: Tokyo Journal of Mathematics
publication date: 1997-05-13T00:00:00Z
review text: The author continues his study [Bull. Nagoya Inst. Technol. 47, 161-170 (1995; see below Zbl 0861.53073)] of magnetic fields on manifolds of higher dimension. In the case of a complex hyperbolic space \(\mathbb{C} H^n(-c)\) he gives explicit expressions of trajectories and points out that the feature of trajectories changes according to the strength \(|k|\) of a Kähler magnetic field \(k\). \(B_J\) is greater or smaller than \(\sqrt{c}\). The dynamical theoretic relationship between the geodesic flow and Kähler magnetic flows is also studied.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 880011
zbMATH Keywords: holomorphic sectional curvature
zbMATH Keywords: Kähler manifold
zbMATH Keywords: Kähler magnetic field
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270043477
OpenAlex ID: W2042195596
DOI: 10.3836/TJM/1270043477
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description: scientific article; zbMATH DE number 880011