What question did this study set out to answer?

To classify essential conformal group actions on pseudo-Riemannian manifolds, particularly regarding Lorentzian structures.

March 29, 2026Journal of Lie theoryOpen Access

Conformal Actions on Homogeneous Lorentzian Manifolds

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To classify essential conformal group actions on pseudo-Riemannian manifolds, particularly regarding Lorentzian structures.
Classified essential actions of simple Lie groups.
Examined Riemannian, Lorentzian, and sub-Lorentzian manifolds.
Analyzed non-isometric actions in the context of conformal equivalence.
Identified all essential actions of simple Lie groups on the specified manifolds.
Demonstrated the scope of essential actions differs significantly between Riemannian and Lorentzian types.

Implication

Classification of essential actions of simple Lie groups on various manifolds, indicating key differences in behavior.

Abstract

A conformal group action on a pseudo-Riemannian manifold is essential if the action is not an isometric action with respect to a conformally equivalent metric.We classify all essential actions of simple Lie groups on Riemannian, Lorentzian and sub-Lorentzian manifolds.

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Cite This Study

U. Bader (2010) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39ba90 https://doi.org/10.5802/jolt.605

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Implication

Classification of essential actions of simple Lie groups on various manifolds, indicating key differences in behavior.

Conformal Actions on Homogeneous Lorentzian Manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

Conformal Actions on Homogeneous Lorentzian Manifolds

Key Points

Implication

Abstract

Discussion

Cite This Study

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