Isometric embeddings of polar Grassmannians and metric characterizations of their apartments
classification
🧮 math.CO
keywords
polarapartmentsembeddingsgrassmanniansisometricmetricalmostcases
read the original abstract
We describe isometric embeddings of polar Grassmann graphs formed by non-maximal singular subspaces. In almost all cases, they are induced by collinearity preserving injections of polar spaces. As a simple consequence of this result, we get a metric characterization of apartments in polar Grassmannians.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.