# Reine Infinitesimalgeometrie

@article{WeylReineI,
title={Reine Infinitesimalgeometrie},
author={Hermann Von Weyl},
journal={Mathematische Zeitschrift},
volume={2},
pages={384-411}
}
136 Citations
The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics
Weyl’s original scale geometry of 1918 (“purely infinitesimal geometry”) was withdrawn by its author from physical theorizing in the early 1920s. It made a surprising comeback, however, in the last
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• 2010
We recall a curvature identity for 4-dimensional compact Riemannian manifolds as derived from the generalized Gauss–Bonnet formula. We extend this curvature identity to non-compact 4-dimensional
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In the light of his recent (and fully deserved) Nobel Prize, this pedagogical paper draws attention to a fundamental tension that drove Penrose’s work on general relativity. His 1965 singularity
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H. Weyl's proposal of 1918 for generalizing Riemannian geometry by local scale gauge (later called {\em Weyl geometry}) was motivated by mathematical, philosophical and physical considerations. It
The Changing Faces of the Problem of Space in the Work of Hermann Weyl
• E. Scholz
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Studies in History and Philosophy of Science
• 2019
During his life Weyl approached the problem of space (PoS) from various sides. Two aspects stand out as permanent features of his different approaches: the unique determination of an affine
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We illustrate how non-relativistic quantum mechanics may be recovered from a dynamical Weyl geometry on configuration space and an ensemble' of trajectories (or `worlds'). The theory, which is free