• Numerical invariants and volume rigidity for hyperbolic lattices
  • Savini, Alessio <1990>

Subject

  • MAT/03 Geometria

Description

  • We prove a generalization of Mostow-Prasad rigidity by showing that the volume function on the PO(m,1)-character variety of a non-uniform real hyperbolic lattice of PO(p,1) stays away from its maximum outside a suitable analytic neighborhood of the class of the discrete and faithful representation, when m>=p>=3. The same for non-uniform complex and quaternionic hyperbolic lattices for m>=p>=2. When G is a non-uniform lattice of PSL(2,C) without torsion we define the omega-Borel invariant for representations into SL(n,C_om) and we discuss its properties.

Date

  • 2018-05-04

Type

  • Doctoral Thesis
  • PeerReviewed

Format

  • application/pdf

Identifier

urn:nbn:it:unibo-23387

Savini, Alessio (2018) Numerical invariants and volume rigidity for hyperbolic lattices, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 30 Ciclo. DOI 10.6092/unibo/amsdottorato/8464.

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