半直积的指数函数的奇异性

IF 3.6 3区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Classical and Quantum Gravity Pub Date : 2025-05-26 DOI:10.1088/1361-6382/add786

Alexandru Chirvasitu, Rafael Dahmen, Karl–Hermann Neeb and Alexander Schmeding

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引用次数: 0

摘要

我们证明了紧流形M上光滑流动的fr切-李群在以下几种情况下不是局部指数型的：当至少有一个非周期轨道是局部闭合的，或者当流动限制在一个环面微分同构的轨道闭包上的线性轨道时。作为一个应用，我们证明了一个渐近平坦时空的Bondi-Metzner-Sachs对称群不是局部指数的。

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On the singularities of the exponential function of a semidirect product

We show that the Fréchet–Lie groups of the form 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.

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来源期刊

Classical and Quantum Gravity 物理-天文与天体物理

CiteScore

7.00

自引率

8.60%

发文量

301

审稿时长

2-4 weeks

期刊介绍： Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.