Reine Infinitesimalgeometrie

  title={Reine Infinitesimalgeometrie},
  author={Hermann Von Weyl},
  journal={Mathematische Zeitschrift},
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Weyl’s original scale geometry of 1918 (“purely infinitesimal geometry”) was withdrawn by its author from physical theorizing in the early 1920s.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
A Curvature Identity on a 4-Dimensional Riemannian Manifold
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
On Cosymplectic Conformal Connections
The aim of this paper is to introduce a cosymplectic analouge of conformal connection in a cosymplectic manifold and proved that if cosymplectic manifold M admits a cosymplectic conformal connection
Singularities, Black Holes, and Cosmic Censorship: A Tribute to Roger Penrose
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
Gauging the Spacetime Metric—Looking Back and Forth a Century Later
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
  • Physics
    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
Gravitational waves in conformal gravity
Gravitation and cosmology with York time
[Shortened abstract:] In this thesis we investigate a solution to the `problem of time' in canonical quantum gravity by splitting spacetime into surfaces of constant mean curvature parameterised by
Quantum mechanics as the dynamical geometry of trajectories
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