--- res: bibo_abstract: - We give non-degeneracy criteria for Riemannian simplices based on simplices in spaces of constant sectional curvature. It extends previous work on Riemannian simplices, where we developed Riemannian simplices with respect to Euclidean reference simplices. The criteria we give in this article are in terms of quality measures for spaces of constant curvature that we develop here. We see that simplices in spaces that have nearly constant curvature, are already non-degenerate under very weak quality demands. This is of importance because it allows for sampling of Riemannian manifolds based on anisotropy of the manifold and not (absolute) curvature.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Ramsay foaf_name: Dyer, Ramsay foaf_surname: Dyer - foaf_Person: foaf_givenName: Gert foaf_name: Vegter, Gert foaf_surname: Vegter - foaf_Person: foaf_givenName: Mathijs foaf_name: Wintraecken, Mathijs foaf_surname: Wintraecken foaf_workInfoHomepage: http://www.librecat.org/personId=307CFBC8-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-7472-2220 bibo_doi: 10.20382/jocg.v10i1a9 bibo_issue: '1' bibo_volume: 10 dct_date: 2019^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/1920-180X dct_language: eng dct_publisher: Carleton University@ dct_title: Simplices modelled on spaces of constant curvature@ ...