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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Bibliographic Details
Published in:	Annals of global analysis and geometry Vol. 60; no. 2; pp. 313 - 354
Main Authors:	Finster, Felix, Lottner, Magdalena
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.09.2021 Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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