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Grant GA18-00496S     1.1.2018 - 31.12.2020
Grantor: Czech Science Foundation

Singular spaces from special holonomy and foliations


Spaces with singularities naturally appear in differential geometry and mathematical physics. The project is based on the development of our results covering the following topics: the holonomy groups of cones over pseudo-Riemannian manifolds, their relations to Lorentzian manifold admitting imaginary Killing spinors, Sasakian and other special geometries, constructions of new examples of complete G2 and Spin(7)-holonomy metrics and study of their deformations, constructions of invariant Kaehler-Einstein and Einstein-Sasakian metrics on cohomogeneity one manifolds. We also plan to investigate geometry of the leaf space of foliations; in particular, to develop Losik's approach to these spaces and to study their characteristic classes.

  IM leader :

Le Hong Van

  Main investigator:

Galaev  Anton

 IM team members:  
Zuevsky Alexander
 Participating institutions:

Faculty of Science, University of Hradec Králové, Coordinator
Institute of Mathematics, Czech Academy of Sciences