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...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Rendiconti del Circolo matematico di Palermo Ročník 69; číslo 1; s. 115 - 124
Hlavný autor: Ghahraei, E.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Milan Springer Milan 01.04.2020
Springer Nature B.V
Predmet:
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
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-018-0390-6