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math.DG2025
The canonical generalised Levi-Civita connection and its curvature
Vicente Cortés, Matas Mackevicius, Thomas Mohaupt +1
Given a (semi-Riemannian) generalised metric and a divergence operator on an exact Courant algebroid , we geometrically construct a canonical general…
math.DG2025
Exterior Generalised Geometry
Vicente Cortés, Oskar Schiller
It is the aim of this paper to transfer to generalised geometry tools employed in the study of semi-Riemannian immersions, specializing at times to semi-Riemannian hypersurfaces. G…
math.DG1996
Homogeneous Special Geometry
Vicente Cortés
Motivated by the physical concept of special geometry two mathematical constructions are studied, which relate real hypersurfaces to tube domains and complex Lagrangean cones respe…