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Content archived on 2024-06-16

Symmetry and shape

Objective

The increasingly demanding challenges in our society and environment constantly require the development of new 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 major aim of this research project is to investigate geometric structures from the viewpoint of their symmetries, and to characterize them by some distinguished features. More precisely, we plan to investigate the shape of submanifolds of spaces equipped with a Riemannian structure that are invariant under a subgroup of the isometry group of the space. A particular objective is to study cohomogeneity one actions on symmetric spaces and characterize their orbits by geometric data. This will be achieved by using techniques recently developed by the host group and by implementing a computer program of symbolic calculus, a matter in which the applicant is experienced.

This proposal suits the objectives of this action: it promotes interdisciplinary relations (cohomogeneity one 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 (the candidate comes from a less-favoured region and is hosted by a group with many international research collaborators) and improves the expertise of the applicant ensuring a position of professional maturity (the applicant is introduced in a topic of current interest, which will allow him to pioneer the investigation of this topic in his country of origin).

Fields of science (EuroSciVoc)

Keywords

Topic(s)

Call for proposal

FP6-2005-MOBILITY-5
See other projects for this call

Funding Scheme

EIF - Marie Curie actions-Intra-European Fellowships

Coordinator

UNIVERSITY COLLEGE CORK - NATIONAL UNIVERSITY OF IRELAND, CORK
EU contribution
No data
Total cost
No data