20 citations · 31 across the 6 of their papers we have counts for
6 papers
Subcomplexes and fixed point sets of isometries of spherical buildings
Carlos Ramos-Cuevas
In this paper we study convex subcomplexes of spherical buildings. We pay special attention to fixed point sets of type-preserving isometries of spherical buildings. This sets are…
On the displacement function of isometries of Euclidean buildings
Carlos Ramos-Cuevas
In this note we study the displacement function of an isometry of a Euclidean building. We give a lower bound for depending on the distance from …
Convexity is a local property in spaces
Carlos Ramos-Cuevas
In this note we show that a connected, closed and locally convex subset (with an extra assumption on the diameter with respect to the induced length metric if ) of a …
The generalized triangle inequalities in thick Euclidean buildings of rank 2
Carlos Ramos-Cuevas
We describe the set of possible vector valued side lengths of n-gons in thick Euclidean buildings of rank 2. This set is determined by a finite set of homogeneous linear inequaliti…
The Center Conjecture for thick spherical buildings
Carlos Ramos-Cuevas
In this paper we show that a convex subcomplex of a spherical building of type E6, E7 or E8 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Together with…
The Center Conjecture for spherical buildings of types F4 and E6
B. Leeb, C. Ramos-Cuevas
We prove that a convex subcomplex of a spherical building of type F4 or E6 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Our approach is differential-g…