Objective
The aim of the present project consists in detecting fundamental structures, which allow a unified understanding of low dimensional Riemannian and Lorentzian manifolds of constant curvature.
The point of view is that of Wick rotation-rescaling theory recently outlined by Benedetti and Bonsante. In this framework ends of geometrically finite hyperbolic manifolds support a natural Lorentzian metric for any fixed constant curvature.
The first objective is to investigate the relationships between classical ending invariants and these "ending spacetimes". This should provide a new insight in both hyperbolic geometry and gravity in dimension 3. On the other hand the Wick rotation-rescaling theory should be further extended in order to include the case of ends of an y complete hyperbolic 3-manifolds of finite type.
The present project falls within the timeline research area of 3D-gravity that has involved common efforts of both Mathematicians and Physicists in last years. Actually a deep motivation of the project is t o give a strong geometric support to recent 3D quantum field theories.
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 physical sciences quantum physics quantum field theory
- natural sciences mathematics pure mathematics geometry
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2004-MOBILITY-5
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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
TOULOUSE
France
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.