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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.DG2012
Conification of Kähler and hyper-Kähler manifolds
Dmitri V. Alekseevsky, Vicente Cortés, Thomas Mohaupt
Given a Kähler manifold endowed with a Hamiltonian Killing vector field , we construct a conical Kähler manifold such that is recovered as a Kähler quotient of…