Continuity of a surface in Fréchet spaces.

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Bibliographic Details
Title: Continuity of a surface in Fréchet spaces.
Authors: Ciarlet, Philippe G.1 (AUTHOR) mapgc@cityu.edu.hk, Malin, Maria2 (AUTHOR) malinmaria@yahoo.com, Mardare, Cristinel1 (AUTHOR) cmardare@cityu.edu.hk
Source: Comptes Rendus. Mathématique. Nov2019, Vol. 357 Issue 11/12, p917-921. 5p.
Subjects: Fréchet spaces, Continuity, Topology
Abstract (English): We establish the continuity of a surface as a function of its first two fundamental forms for several Fréchet topologies, which include in particular those of the space W loc 1 , p for the first fundamental form and of the space L loc p for the second fundamental form, for any p > 2. [ABSTRACT FROM AUTHOR]
Abstract (French): On établit la continuité d'une surface en fonction de ses deux premières formes fondamentales pour plusieurs topologies de Fréchet, qui incluent en particulier celles de l'espace W loc 1 , p pour la première forme et de l'espace L loc p pour la deuxième forme, où p > 2. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We establish the continuity of a surface as a function of its first two fundamental forms for several Fréchet topologies, which include in particular those of the space W loc 1 , p for the first fundamental form and of the space L loc p for the second fundamental form, for any p > 2. [ABSTRACT FROM AUTHOR]
ISSN:1631073X
DOI:10.1016/j.crma.2019.10.010