Tesi etd-09022026-110605 |
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Tipo di tesi
Tesi di laurea magistrale
Autore
CROVETTO, PIETRO
URN
etd-09022026-110605
Titolo
Construction of Einstein metrics by generalized Dehn filling
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
.
relatore Prof. Martelli, Bruno
Parole chiave
- Dehn filling
- differential geometry
- Einstein metrics
- hyperbolic geometry
Data inizio appello
25/09/2026
Consultabilità
Completa
Riassunto (Inglese)
The aim of this thesis is to study a possible generalization of Thurston's theorem for 3-dimensional hyperbolic Dehn filling to higher dimensions. The proof makes use of analytical tools, in particular of functional analysis and elliptic differential operators. The central point is to endow the space of symmetric bilinear tensors with a suitable norm, and then apply Banach's fixed-point theorem to find an Einstein metric. The main reference is a research paper by Richard Bamler.
Riassunto (Italiano)
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