44 citations · 185 across the 27 of their papers we have counts for
4 papers · 1 filter
Spinors of real type as polyforms and the generalized Killing equation
Vicente Cortés, Calin Lazaroiu, C. S. Shahbazi
We develop a new framework for the study of generalized Killing spinors, where generalized Killing spinor equations, possibly with constraints, can be formulated equivalently as sy…
Generalized connections, spinors, and integrability of generalized structures on Courant algebroids
Vicente Cortés, Liana David
We present a characterization, in terms of torsion-free generalized connections, for the integrability of various generalized structures (generalized almost complex structures, gen…
The quaternionic/hypercomplex-correspondence
Vicente Cortés, Kazuyuki Hasegawa
Given a quaternionic manifold with a certain -symmetry, we construct a hypercomplex manifold of the same dimension. This construction generalizes the quater…
Geometry and holonomy of indecomposable cones
Dmitri Alekseevsky, Vicente Cortés, Thomas Leistner
We study the geometry and holonomy of semi-Riemannian, time-like metric cones that are indecomposable, i.e., which do not admit a local decomposition into a semi-Riemannian product…