Objective
Many studies have been carried out in a dozen institute in the general area of differential geometry. More specifically, the projects can be grouped into 4 areas:
Variational problems: submanifolds of prescribed mean curvature; harmonic maps; qualitative behaviour of minimizers.
Spectral theory: eigenvalue estimates in the compact care; spectral analysis in non compact manifolds; isoperimetric inequalities.
Prescribing geometric data: non positively curved manifolds; pinching theorems; scalar curvature or mean curvature; Kaehler, hyperkaehler and quaternionic geometrics.
Theoretical physics: nonlinear sigma models; supersymmetry; anomalies; twistors.
Global Differential Geometry is a rapidly growing field, due to its strong interactions with other subfields of mathematics and other sciences. Its notions and techniques are now widely used in many other areas, a recent spectacular success being the new results in the differential topology of 4 dimensional manifolds. Most of the recent achievements in differential geometry rely heavily on solving somelinear and non linear partial differential equations. On the other hand geometry has enriched the theory of partial differential equations with specific problems which turned out to be landmarks. This project aims at enhancing contacts between three schools of differential geometers (those keen on PDE techniques, those interested in ideas borrowed from physics and those with a more geometric training). It is organised according to four main themes : variational problems, spectral theory, prescribing geometric objects and new developments induced by theoretical physics.
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
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences physical sciences theoretical physics
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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.
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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
86135 AUGSBURG
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.