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Continuity of a surface in Fréchet spaces.

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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]
Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: Continuity of a surface in Fréchet spaces.
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  Data: <searchLink fieldCode="AR" term="%22Ciarlet%2C+Philippe+G%2E%22">Ciarlet, Philippe G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mapgc@cityu.edu.hk</i><br /><searchLink fieldCode="AR" term="%22Malin%2C+Maria%22">Malin, Maria</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> malinmaria@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Mardare%2C+Cristinel%22">Mardare, Cristinel</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cmardare@cityu.edu.hk</i>
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  Data: <searchLink fieldCode="JN" term="%22Comptes+Rendus%2E+Mathématique%22">Comptes Rendus. Mathématique</searchLink>. Nov2019, Vol. 357 Issue 11/12, p917-921. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Fréchet+spaces%22">Fréchet spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Continuity%22">Continuity</searchLink><br /><searchLink fieldCode="DE" term="%22Topology%22">Topology</searchLink>
– Name: Abstract
  Label: Abstract (English)
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  Data: 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]
– Name: Abstract
  Label: Abstract (French)
  Group: Ab
  Data: 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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  Data: <i>Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Topology
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      – TitleFull: Continuity of a surface in Fréchet spaces.
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              Text: Nov2019
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