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Grantor: Czech Science Foundation

**Objectives**:

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 :

Main investigator:

**Galaev** Anton

Participating institutions:

Faculty of Science, University of Hradec Králové,** Coordinator**

Institute of Mathematics, Czech Academy of Sciences

IM team members:

Zuevsky Alexander |