Objective
Global Riemannian Geometry is a branch of Riemannian Geometry that has experimented a great development along this century, evolving a wide range of techniques and sub-disciplines, as critical point theory, distance geometry and comparison geometry. Its main goal consists into the topological (or even metrical) classification of manifolds satisfying some restrictions on its curvatures or other Riemannian invariants defined on it. That is, the relationships between topology and geometry of a given manifold. In some cases even the geometry can be recognised via measurements of metric invariants. The aim of this course is to present young researchers some of these techniques in order to prepare them for the research in this area. In particular, the course will be focused on a combination of the following topics: finite metric spaces, distance geometry, analysis on smooth and discrete spaces and comparison geometry via Cartan connections. The theory of Cartan connexions gives a global vision of differential geometry and classical geometries, and this gives a great interest to this course because these tools will be useful everywhere.
ftp://ftp.cordis.lu/pub/improving/docs/HPCF-2000-00024-1.pdf(opens in new window)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics topology
- natural sciences mathematics pure mathematics geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
Spain
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.