Automorphisms of rigid geometric structures à la Zimmer–Gromov | Vidéo | Carmin.tv

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Automorphisms of rigid geometric structures à la Zimmer–Gromov

By Karin Melnick

Appears in collection : Group Actions and Rigidity: Around the Zimmer Program / Actions de Groupes et Rigidité : Autour du programme de Zimmer

This talk begins with examples of rigid and non-rigid geometric structures, followed by an in-depth discussion of the Fundamental Theorem of Riemannian Geometry, on existence and uniqueness of a torsion-free connection compatible with a Riemannian metric. This result is interpreted as giving a framing on the orthonormal frame bundle uniquely determined by the metric. It is seen to be a consequence of the vanishing of the first prolongation of the orthogonal Lie algebra.

Information about the video

Date of recording 16/04/2024
Date of publication 07/05/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20159403
Cite this video Melnick, Karin (16/04/2024). Automorphisms of rigid geometric structures à la Zimmer–Gromov. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20159403
URL https://dx.doi.org/10.24350/CIRM.V.20159403

Domain(s)

Differential Geometry

Bibliography

KOBAYASHI, Shoshichi. Transformation groups in differential geometry. Springer Science & Business Media, 1995 - https://doi.org/10.1007/978-3-642-61981-6

MSC codes

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