On the singularities of the exponential function of a semidirect product

Chirvasitu A, Dahmen R, Neeb KH, Schmeding A (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Classical and Quantum Gravity Institute of Physics: Hybrid Open Access

Book Volume: 42

Article Number: 115009

Journal Issue: 11

DOI: 10.1088/1361-6382/add786

Abstract

We show that the Fréchet-Lie groups of the form C ∞ ( M ) ⋊ R resulting from smooth flows on compact manifolds M fail to be locally exponential in several cases: when at least one non-periodic orbit is locally closed, or when the flow restricts to a linear one on an orbit closure diffeomorphic to a torus. As an application, we prove that the Bondi-Metzner-Sachs group of symmetries of an asymptotically flat spacetime is not locally exponential.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

Involved external institutions

University at Buffalo. State University of New York US United States (USA) (US) Karlsruhe Institute of Technology (KIT) DE Germany (DE) NTNU Trondheim - Norwegian University of Science and Technology NO Norway (NO)

How to cite

APA:

Chirvasitu, A., Dahmen, R., Neeb, K.H., & Schmeding, A. (2025). On the singularities of the exponential function of a semidirect product. Classical and Quantum Gravity, 42(11). https://doi.org/10.1088/1361-6382/add786

MLA:

Chirvasitu, Alexandru, et al. "On the singularities of the exponential function of a semidirect product." Classical and Quantum Gravity 42.11 (2025).

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