eprintid: 23553
rev_number: 17
eprint_status: archive
userid: 3339
dir: disk0/00/02/35/53
datestamp: 2017-10-10 11:49:12
lastmod: 2017-10-12 09:01:35
status_changed: 2017-10-10 11:49:12
type: doctoralThesis
metadata_visibility: show
creators_name: Yu, Hao
title: Dual flows in hyperbolic space and de Sitter space
subjects: ddc-510
divisions: i-110400
adv_faculty: af-11
cterms_swd: Differentialgeometrie
cterms_swd: Partielle Differentialgleichung
abstract: 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
id_scheme: DOI
id_number: 10.11588/heidok.00023553
ppn_swb: 1656457822
own_urn: urn:nbn:de:bsz:16-heidok-235538
date_accepted: 2017-05-05
advisor: HASH(0x561a6282cab8)
language: eng
bibsort: YUHAODUALFLOWSI2017
full_text_status: public
citation:   Yu, Hao  (2017) Dual flows in hyperbolic space and de Sitter space.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/23553/1/dissertation.pdf