# Questions tagged [cartan-geometry]

Cartan geometry is the geometry of spaces that are locally (infinitesimally, tangentially) like coset spaces G/H, i.e. like Klein geometries. Intuitively, Cartan geometry studies the geometry of a manifold by ‘rolling without sliding’ the ‘model geometry’ G/H along it. Hence Cartan geometry may be thought of as the globalization of the program of Klein geometry initiated in the Erlangen program.

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### Cartan geometry: jet space perspective on the tractor bundle

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### Torsion-free Cartan connections

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### Understanding the space of structures

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### Restriction of complete 1-forms to closed submanifolds (Sharpe's book on Cartan geometries)

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### Eigenvalues and eigenvectors of the exceptional simple Lie group E6, E7, E8

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### When are principal bundles supporting Cartan connections isomorphic?

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### Name for a class of almost symplectic manifolds

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### What exactly is a Cartan radius vector (and its role in Poincaré gauge theories)

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### How to prove two curves in the frame bundle to project to the same curve on base manifold?

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### Termination of Cartan's equivalence method

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### Is the development map in Hyperbolic geometry related to development in Cartan geometry?

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### Universal covariant derivative decomposition in a Cartan geometry

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### Cartan's Structure Equations VS Cartan's Method of Equivalence

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### Online References for Cartan Geometry

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### What are the Cartan geometries modeled on $\mathbb{H}P^m$?

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### The standard projective cotractor bundle and its cocycle of transition functions

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### What is the curved version of the Tits fibration for $G_2$?

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### What is the space parametrising the curved sub-Cartan geometries of a flat Cartan geometry?

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### Relationship between parabolic subgroups and parabolic subalgebras over non-algebraically-closed fields

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### Contact distributions on $(G_2,P)$-type Cartan geometries in dimension 5

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