Steepest descent on real flag manifolds
| dc.creator | Eschenburg, J. -H. | |
| dc.creator | Mare, A. -L. | |
| dc.date | 2002-08-02 | |
| dc.date | 2004-02-13 | |
| dc.date.accessioned | 2026-07-07T04:50:00Z | |
| dc.date.available | 2026-07-07T04:50:00Z | |
| dc.description | Real flag manifolds are the isotropy orbits of noncompact symmetric spaces $G/K$. Any such manifold $M$ enjoys two very peculiar geometric properties: It carries a transitive action of the (noncompact) Lie group $G$, and it is embedded in euclidean space as a taut submanifold. The aim of the paper is to link these two properties by showing that the gradient flow of any height function is a one-parameter subgroup of $G$, where the gradient is defined with respect to a suitable homogeneous metric $s$ on $M$; this generalizes the Kaehler metric on adjoint orbits (the so-called complex flag manifolds). | |
| dc.description | This is a substantially revised version of the paper entitled initially "Flow lines on isotropy orbits". It has 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0208018 | |
| dc.identifier | http://arxiv.org/abs/math/0208018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64648 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C30, 53C35 | |
| dc.title | Steepest descent on real flag manifolds | |
| dc.type | text |