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Exterior generalised geometry

组织者

深谷賢治 , 杨琳 , 塞巴斯蒂安·赫勒 , 河井公大朗

演讲者

Vicente Cortes

时间

2025年09月23日 15:00 至 16:00

地点

A7-201

摘要

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:

constraint equations for the generalised Einstein equations as a consequence of our generalised Gauss and Codazzi equations,
a generalised fundamental theorem for hypersurfaces (which builds on joint work with Thomas Mohaupt, Matas Mackevicius and Oskar Schiller arXiv:2507.17604) and
the inheritance of generalised Kähler metrics on generalised complex submanifolds.