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No scalar-haired Cauchy horizon theorem in Einstein-Maxwell-Horndeski theories
Published 2022-06-01“…Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. …”
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Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory
Published 2023-04-01Get full text
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A Unified Methodology for the Generalisation of the Geometry of Features
Published 2021-02-01“…The main part of this article is the theoretical presentation of objectifying the complex process of the generalisation of the geometry of a feature. The use of the inherent characteristics of metric spaces, narrowing mappings, Lipschitz and Cauchy conditions, Salishchev measures, and Banach theorems ensure the uniqueness of the generalisation process. …”
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The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions d≥ 4
Published 2020Get full text
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MIXING FOR PROGRESSIONS IN NONABELIAN GROUPS
Published 2013-01-01“…Our methods include the use of the Cauchy–Schwarz inequality, the abelian Fourier transform, the Lang–Weil bound for the number of points in an algebraic variety over a finite field, some algebraic geometry, and (in the case of length four progressions) the multidimensional Szemerédi theorem.…”
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