1 citations · 2 across the 7 of their papers we have counts for
8 papers
Stability of Einstein 4-manifolds satisfying a chiral curvature condition
Diego Artacho
Let be a compact oriented Einstein four-manifold with Einstein constant and let denote the action of the Riemann curvature tensor on self-dual two-forms…
On the stability of Einstein metrics carrying a special twisted spinor
Diego Artacho
We prove linear semi-stability for a large class of Einstein metrics of non-positive scalar curvature. More precisely, we show that any Einstein -manifold with non-positive scal…
Killing Mean Curvature Solitons from Riemannian Submersions
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
We present a new general construction of examples of mean curvature solitons on manifolds admitting a nowhere-vanishing Killing vector field. Using Riemannian submersion techniques…
Invariant Spinors on Flag Manifolds
Diego Artacho, Uwe Semmelmann
In this note, we characterise the existence of non-trivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterisation is based on…
The Geometry of Generalised Spin Spinors on Projective Spaces
Diego Artacho, Jordan Hofmann
In this paper, we adapt the characterisation of the spin representation via exterior forms to the generalised spin context. We find new invariant spin spinors on the projec…
Generalised Killing Spinors on Three-Dimensional Lie Groups
Diego Artacho
We present a complete classification of invariant generalised Killing spinors on three-dimensional Lie groups. We show that, in this context, the existence of a non-trivial invaria…
Generalised Spin Structures on Homogeneous Spaces
Diego Artacho, Marie-Amélie Lawn
Spinorial methods have proven to be a powerful tool to study geometric properties of spin manifolds. Our aim is to continue the spinorial study of manifolds that are not necessaril…
New Examples of Translating Solitons in Generalised Robertson-Walker Geometries
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
Translators can be regarded as submanifolds which satisfy the mean curvature flow equation when evolving by translations along a distinguished vector field of the ambient space. We…