Data di Pubblicazione:
2014
Citazione:
SPACELIKE HYPERSURFACES IN GENERALIZED ROBERTSON-WALKER SPACETIMES / S. Scoleri ; Advisor: M. Rigoli ; coordinator: L. Van Geemen. Università degli Studi di Milano, 2014 Dec 04. 26. ciclo, Anno Accademico 2013. [10.13130/scoleri-simona_phd2014-12-04].
Abstract:
The object of study are complete spacelike hypersurfaces in a generalized Robertson-Walker spacetime. We make use of a new
local form of the weak maximum principle for a class of operators including the
Lorentzian mean curvature operator in order to obtain some mean curvature estimates
and height estimates for spacelike hypersurfaces. These estimates are related to some rigidity results.
We also give height estimates for spacelike hypersurfaces with constant higher
order mean curvature, which are obtained via the local form of the weak maximum
principle for an appropriate class of operators.
Tipologia IRIS:
Tesi di dottorato
Elenco autori:
S. Scoleri
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