BIMSA > Differential Geometry Seminar Exterior generalised geometry
Exterior generalised geometry
Organizers
Kenji Fukaya , Lynn Heller , Sebastian Heller , Kotaro Kawai
Speaker
Vicente Cortes
Time
Tuesday, September 23, 2025 3:00 PM - 4:00 PM
Venue
A7-201
Abstract
A generalised metric is the analogue of a semi-Riemannian metric in Hitchin’s generalised geometry. Based on joint work with Oskar Schiller (arXiv:2507.12362), I will present a theory of submanifolds in this setting, which has many potential applications. Our results so far include:
  1. constraint equations for the generalised Einstein equations as a consequence of our generalised Gauss and Codazzi equations,
  2. a generalised fundamental theorem for hypersurfaces (which builds on joint work with Thomas Mohaupt, Matas Mackevicius and Oskar Schiller arXiv:2507.17604) and
  3. the inheritance of generalised Kähler metrics on generalised complex submanifolds.