We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem. At the same time, from geometric methods in submanifold theory we sketch very strong applications to the holonomy of Lorentzian manifolds. Moreover we give a conceptual modern proof of a result of Kostant for homogeneous spaces.

Holonomy and submanifold geometry / DI SCALA, ANTONIO JOSE'; Console, S; Olmos, C.. - In: L'ENSEIGNEMENT MATHÉMATIQUE. - ISSN 0013-8584. - STAMPA. - 48:(2002), pp. 23-50.

Holonomy and submanifold geometry

DI SCALA, ANTONIO JOSE';
2002

Abstract

We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem. At the same time, from geometric methods in submanifold theory we sketch very strong applications to the holonomy of Lorentzian manifolds. Moreover we give a conceptual modern proof of a result of Kostant for homogeneous spaces.
2002
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Descrizione: The editor allow me to put the paper in PORTO. See below email. Dear Prof. Di Scala, We don't have any precise policy on this subject in general. However, in your case, the papers were published more than 5 years ago and they are available freely through Seals (http://retro.seals.ch/digbib/en/vollist?UID=ensmat-001). So, I am pleased to inform you that you are automatically allowed to place them in any other repository. Best regards, Daniel Coray On 26/10/2012 10:05, Antonio Jose Di Scala wrote: Dear Editor of L'Enseignement Mathématique, Time ago I published two papers in your journal. I would like to ask for information about the OPEN ACCESS policies of your journal. This is so because my institute (Politecnico di Torino) have a Open Repository of papers see: http://porto.polito.it/ Other journals allows to put in our repository a public post-print version of the papers with the link to the original version, see http://www.sherpa.ac.uk/romeo/ So I wonder if I can do the same with my two papers. Thank you very much in advance. Antonio J. Di Scala. Dipartimento di Scienze Matematiche.
Tipologia: 2. Post-print / Author's Accepted Manuscript
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1660763
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