Study on unique spacetime extensions in 1+1 dimensions with applications to weak null singularities.
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We classify Dehn functions of Bestvina-Brady groups.
Suppose a group is relatively hyperbolic with respect to a collection $\PP$ of its subgroups and also acts properly, cocompactly on a $\CAT(0)$ (or --hyperbolic) space . The relatively hyperbolic structure provides a relative boundary $\partial(G,\PP)$. The $\CAT(0)$ structure provides a different boundary at…
A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, that is, they act geometrically on Helly graphs. In particular, such groups act geometrically on spaces with convex geodesic bico…
We construct a global geometric model for the bosonic sector and Killing spinor equations of four-dimensional supergravity coupled to a chiral non-linear sigma model and a Spin structure. The model involves a Lorentzian metric on a four-manifold , a complex chiral spinor and a map $\varph…