Isometric embeddings of polar Grassmannians and metric characterizations of their apartments |
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| Authors: | Mariusz Kwiatkowski Mark Pankov |
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| Affiliation: | 1.Department of Mathematics and Computer Science,University of Warmia and Mazury,Olsztyn,Poland |
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| 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. |
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