title: Dual flows in hyperbolic space and de Sitter space
creator: Yu, Hao
subject: ddc-510
subject: 510 Mathematics
description: We consider contracting flows in (n+1)-dimensional hyperbolic space and expanding flows in (n+1)-dimensional de Sitter space. When the flow hypersurfaces are strictly convex we relate the contracting hypersurfaces and the expanding hypersurfaces by the Gauß map. The contracting hypersurfaces shrink to a point in finite time while the expanding hypersurfaces converge to the maximal slice {\tau = 0}. After rescaling, by the same scale factor, the rescaled contracting hypersurfaces converge to a unit geodesic sphere, while the rescaled expanding hypersurfaces converge to slice {\tau = −1} exponentially fast.
date: 2017
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/23553/1/dissertation.pdf
identifier: DOI:10.11588/heidok.00023553
identifier: urn:nbn:de:bsz:16-heidok-235538
identifier:   Yu, Hao  (2017) Dual flows in hyperbolic space and de Sitter space.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/23553/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng