A symplectic framework for multiplane gravitational lensing
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Publication:4832993
DOI10.1063/1.1563042zbMath1062.83071OpenAlexW2115305191MaRDI QIDQ4832993
Stanisław Janeczko, Shyuichi Izumiya
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2115/5910
Relativistic cosmology (83F05) General relativity (83C99) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60)
Cites Work
- Stability of unfoldings in space and time
- Lagrangian and Legendrian singularities
- Lagrangian submanifolds in product symplectic spaces
- Arnold’s singularity theory and gravitational lensing
- Generating families for images of Lagrangian submanifolds and open swallowtails
- Fixed points due to gravitational lenses
- Applications of singularity theory to gravitational lensing. I. Multiple lens planes
- Classification of (2,2)-stable unfoldings of map germs with codimensions ≤ 4
- Multiplane gravitational lensing. I. Morse theory and image counting
