Objective
This project focuses on global pseudo-Riemannian geometry, i.e. geometry of manifolds with a non-degenerate, but indefinite, metric. The aim is to investigate, and if possible classify, global "special" pseudo-Riemannian geometries, in particular: (1) pseudo-Riemannian manifolds with a special holonomy group, (2) homogeneous (in particular symmetric) pseudo-Riemannian spaces, (3) foliated manifolds with a homogeneous transverse pseudo-Riemannian geometry, or with totally geodesic leaves. The main first task is (1), with focusing at first on the Lorentzian case. The point is the case where the holonomy group is not semi-simple. The three points are linked. For example, understanding (1) is helpful for (2), (2) may provide examples for (1), a work on (3) (totally geodesic leaves) may help to classify (1) in low dimension... They are also related to physical problems.
To achieve the goal, several techniques are to be used, some which I know, many which I have to learn.
For (1), local differential calculus, Cartan-Kahler theory, foliations, techniques developed by Galaev (analytic germs).
For (2), classical Lie group theory, and techniques newly developed by Kath, Olbrich, Neukirchner (twofold extensions...).
For (3), (G,X)-structures... I wish to work on those subjects with Helga Baums team in Berlin, Humboldt Universitat. The idea is that we have close interests, but with different, complementary approaches and competencies.
That is why: - this transnational cooperation is likely to produce good results (all the more, in a subject that requires, simultaneously, several competencies), - it fits the objectives of this action, as it will complete and diversify my skills and give me an expertise in the field of and special pseudo-Riemannian geometries.
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 geometry
- natural sciences mathematics pure mathematics algebra algebraic 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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2005-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
BERLIN
Germany
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.