On the radial limits of mappings on Riemannian manifolds

On the radial limits of mappings on Riemannian manifolds

We study the geometric properties of the mappings for which a generalized inverse Poletsky modular inequality holds. Our approach is on Riemannian manifolds and we generalize some known theorems from the theory of analytic mappings concerning radial limits, such as the theorems of Fatou and M. and F...

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Veröffentlicht in:Analysis and mathematical physics 2023-08, Vol.13 (4), Article 60
1. Verfasser: Cristea, Mihai
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Generalized inverse
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Original Article
Riemann manifold
Theorems
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Beschreibung
Zusammenfassung:We study the geometric properties of the mappings for which a generalized inverse Poletsky modular inequality holds. Our approach is on Riemannian manifolds and we generalize some known theorems from the theory of analytic mappings concerning radial limits, such as the theorems of Fatou and M. and F. Riesz and their extensions given for quasiregular mappings by Martio and Rickman.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-023-00824-8