Back to Search
Start Over
Preserving problems of geodesic-affine maps and related topics on positive definite matrices.
- Source :
-
Linear Algebra & its Applications . Oct2015, Vol. 483, p293-308. 16p. - Publication Year :
- 2015
-
Abstract
- Based on affine maps in geometry, we study the geodesic-affine maps on Riemannian manifolds P n of complex positive definite matrices that are induced by different so-called kernel functions. In this article, we are going to describe the structure of all continuous bijective geodesic-affine maps on these manifolds. We also prove that geodesic distance isometries are geodesic-affine maps. Moreover, the forms of all bijective maps which preserve norms of geodesic correspondence are characterized. Indeed, these maps are special examples of geodesic-affine maps. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 483
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 108966513
- Full Text :
- https://doi.org/10.1016/j.laa.2015.06.009