<?xml version='1.0' encoding='utf-8'?>
<oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'>
<dc:creator>Damian, F.L.</dc:creator>
<dc:date>2023</dc:date>
<dc:description xml:lang='en'><p>We describe geometric methods that allow to build and investigate hyperbolic manifolds of dimensions 3, 4 and 5, with certain predefined properties, such as cusps geometry, the geometry of a totally geodesic submanifold, etc. Some result of these constructions look like as a generalization of 2-dimensional pants. Also we use these examples and methods of metric reconstruction to obtain non-face-to-face incidence schemes for fundamental polyhedra. As a result, new manifolds and some exotic tilings on universal coverage are obtained. The talk will be focused on the transfer of methods of discrete geometry to topology and vice versa.</p></dc:description>
<dc:source>Mathematics and Information Technologies: Research and Education () 23-23</dc:source>
<dc:title>Hyperbolic manifolds built on the geometries of their cusps or submanifolds</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>