15 citations · 19 across the 3 of their papers we have counts for
4 papers
Singularity theorems for warped products and the stability of spatial extra dimensions
Nastassja Cipriani, José M. M. Senovilla
New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions aga…
Umbilical spacelike submanifolds of arbitrary co-dimension
Nastassja Cipriani, José M. M. Senovilla
Given a semi-Riemannian manifold, we give necessary and sufficient conditions for a Riemannian submanifold of arbitrary co-dimension to be umbilical along normal directions. We do…
Umbilical properties of spacelike co-dimension two submanifolds
Nastassja Cipriani, José M. M. Senovilla, Joeri Van der Veken
For Riemannian submanifolds of a semi-Riemannian manifold, we introduce the concepts of \emph{total shear tensor} and \emph{shear operators} as the trace-free part of the correspon…
Codimension two marginally trapped submanifolds in Robertson-Walker spaces
Henri Anciaux, Nastassja Cipriani
We give a local characterization of codimension two submanifolds which are marginally trapped in Robertson-Walker spaces, in terms of an algebraic equation to be satisfied by the h…