Banach manifold structure and infinite-dimensional analysis for causal fermion systems

A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Fréchet-smooth Riemannian metric. The so-called expedient differential calculus...

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Vydáno v:	Annals of global analysis and geometry Ročník 60; číslo 2; s. 313 - 354
Hlavní autoři:	Finster, Felix, Lottner, Magdalena
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Dordrecht Springer Netherlands 01.09.2021 Springer Nature B.V
Témata:	Analysis Banach spaces Continuity (mathematics) Differential calculus Differential Geometry Dimensional analysis Fermions Geometry Global Analysis and Analysis on Manifolds Manifolds (mathematics) Mathematical analysis Mathematical Physics Mathematics Mathematics and Statistics Operators (mathematics) Subspaces Infinite-dimensional analysis Banach manifolds Non-smooth analysis Expedient differential calculus Causal fermion systems Fréchet-smooth Riemannian structures
ISSN:	0232-704X, 1572-9060
On-line přístup:	Získat plný text
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