Hyperbolic Manifolds Based on Geometry of their Submanifolds
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DAMIAN, Florin. Hyperbolic Manifolds Based on Geometry of their Submanifolds. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 68.
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Conference on Applied and Industrial Mathematics
Ediţia 30, 2023
Conferința "Conference on Applied and Industrial Mathematics"
30, Chişinău, Moldova, 14-17 septembrie 2023

Hyperbolic Manifolds Based on Geometry of their Submanifolds


Pag. 68-68

Damian Florin
 
Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU
 
 
Disponibil în IBN: 22 martie 2024


Rezumat

We describe geometric methods to build and investigate hyperbolic manifolds with certain required geometric properties. We use these examples and methods of metric reconstruction to obtain non-face-to-face incidence schemes for fundamental polyhedra and, as a result, for building new manifolds and some exotic tilings on universal coverage. The communication will be focused on the transfer of methods of discrete geometry to topology and vice versa.

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