Distances from unbounded trajectories to their limit-strings on a Hadamard Kähler manifold

DOI10.1007/s00025-021-01464-9zbMath1481.53027OpenAlexW3180940682MaRDI QIDQ2044591

Toshiaki Adachi

Publication date: 10 August 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01464-9

zbMATH Keywords

Hadamard manifoldsKähler magnetic fieldstrajectory-harpslimit-strings

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Local differential geometry of Hermitian and Kählerian structures (53B35)

Cites Work

• A theorem of Hadamard-Cartan type for Kähler magnetic fields
• On manifolds having some restricted ideal boundaries
• Manifolds of nonpositive curvature
• Helical geodesic immersions into complex space forms
• Accurate trajectory-harps for Kähler magnetic fields
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Comparison theorems on trajectory-harps for Kähler magnetic fields which are holomorphic at their arches
• Asymptotic behaviors of trajectories on a Hadamard Kähler manifold
• A comparison theorem on harp-sectors for Kähler magnetic fields
• Trajectory-harps and horns applied to the study of the ideal boundary of a Hadamard Kähler manifold
• Visibility manifolds