Global homeomorphism of nonsmooth mappings using pseudo-Jacobian on Riemannian manifolds

We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f : M → N where M and N are Riemannian manifolds and we consider a related index of regularity for...

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Veröffentlicht in:Rendiconti del Circolo matematico di Palermo Jg. 69; H. 1; S. 115 - 124
1. Verfasser: Ghahraei, E.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Milan Springer Milan 01.04.2020
Springer Nature B.V
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Regularity
Riemann manifold
Theorems
Topological manifolds
Pseudo-Jacobian
Mordukhovich coderivative
Riemannian manifolds
49J52
Global homeomorphism
58C20
47H05
ISSN:0009-725X, 1973-4409
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Zusammenfassung:We study the global homeomorphism of a continuous nonsmooth mappings between Riemannian manifolds which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f : M → N where M and N are Riemannian manifolds and we consider a related index of regularity for f . We obtain a characterization of global homeomorphisms in terms of its index of regularity.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-018-0390-6