CORDIS Project
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This project investigates the geometry and dynamics of foliations on compact manifolds, focusing on the relationships between curvature, topology, and the second fundamental form. It aims to develop new mathematical insights and integral formulas related to these structures.
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 man…
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