ISOMETRIC

Isometric actions

Coordinatore	UNIVERSIDADE DE SANTIAGO DE COMPOSTELA    more  Organization address address: "PAZO DE SAN XEROME, PRAZA DO OBRADOIRO S/N" city: SANTIAGO DE COMPOSTELA postcode: 15782 contact info Titolo: Dr. Nome: Fernando Cognome: Sedano Arnaez Email: send email Telefono: 34981547050 Fax: 34981528019
Nazionalità Coordinatore	Spain [ES]
Totale costo	45˙000 €
EC contributo	45˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-ERG-2008
Funding Scheme	MC-ERG
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-04-01   -   2012-03-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSIDADE DE SANTIAGO DE COMPOSTELA  Organization address address: "PAZO DE SAN XEROME, PRAZA DO OBRADOIRO S/N" city: SANTIAGO DE COMPOSTELA postcode: 15782 contact info Titolo: Dr. Nome: Fernando Cognome: Sedano Arnaez Email: send email Telefono: 34981547050 Fax: 34981528019	ES (SANTIAGO DE COMPOSTELA)	coordinator	45˙000.00

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 Obiettivo del progetto (Objective)

'The increasingly demanding challenges in our society require the development of innovative ideas. These ideas often originate from mathematical models of phenomena in natural and life sciences, in medicine and business, in technology and engineering, in manufacturing and design, and in other areas. Many of these models lead to geometric structures describing the phenomena precisely or, in most cases, approximately. Innovation and scientific development depends upon a thorough understanding of these geometric structures. The aim of this project is to investigate geometric structures from the viewpoint of their symmetries, and to characterize them by some distinguished features. We are interested in the geometry of those submanifolds that arise as orbits of isometric actions on Riemannian manifolds. More precisely, we plan to investigate the following problems: - Classification of isometric actions on Riemannian manifolds. We will focus on polar and hyperpolar actions, or cohomogeneity one actions, that have attracted much attention over the last few years. - Study of the geometry of the orbits of isometric actions on Riemannian manifolds. - Characterization of the orbits of isometric actions by means of their geometric properties. The objectives of this proposal will be achieved by using techniques recently developed by the applicant and his previous host group and by developing a computer program of symbolic calculus, a matter in which the applicant is experienced. This proposal suits the objectives of the action: it promotes interdisciplinary relations (isometric actions have successfully been used for the construction and investigation of special structures which have substantial interest in physics; we use programming techniques to handle symbolic calculations), reinforces international relations and provides the applicant with the chance of a lasting professional integration in a research institution.'