Versal deformations in orbit spaces
Given an orbit space $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a miniversal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to the perturb...
| Authors: | , , |
|---|---|
| Format: | article |
| Publication Date: | 2003 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/844 |
| Online Access: | https://hdl.handle.net/2117/844 |
| Access Level: | Open access |
| Keyword: | Global analysis (Mathematics) System theory versal deformation orbit spaces Grassmann manifold flag manifold (C,A)-invariant subspaces Sistemes, Teoria de Sistemes de control Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory Classificació AMS::93 Systems Theory Control::93B Controllability, observability, and system structure Control::93C Control systems, guided systems |
| Summary: | Given an orbit space $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a miniversal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to the perturbations of $m$-tuples of subspaces and $(C,A)$-invariant subspaces. |
|---|