Objective
The project concerns investigations of the extrinsic geometry (expressed by the 2nd fundamental form of leaves) and its relations with mixed curvature, topology and dynamics of foliations on compact (or of finite volume) manifolds. The research objectives are to go deeply in studying foliations using the methods of Riemannian geometry, theory of submanifolds, topology and dynamics, computer simulations. Among the (hoped for) results are new integral formulae for foliations on Riemannian manifolds, connectedness properties of (k, ε)-saddle (saddle, totally geodesic) foliations, and applications of them to the following problems: – Walczak problem: to recover a metric on a foliated manifold by higher mean curvatures of a foliation or its orthogonal distribution; – Gluck-Ziller problem: minimizing certain functions like volume and energy defined for plane fields on Riemannian manifolds, considered as maps into the (co)tangent Grassmann bundles equipped with Cheeger-Gromoll type metrics; – Toponogov problem: to generalize Ferus’s theorem for the case of foliations with non-negative (positive) mixed curvature. The topic belongs to differential geometry and topology, subjects of pure mathematics.
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.
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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.
FP7-PEOPLE-2007-2-1-IEF
See other projects for this call
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
90-136 LODZ
Poland
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.