TY  - GEN
TI  - Dual flows in hyperbolic space and de Sitter space
ID  - heidok23553
Y1  - 2017///
N2  - 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.
A1  - Yu, Hao
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/23553/
AV  - public
ER  -