Grant GA18-00496S
1.1.2018 - 31.12.2020
Grantor: Czech Science Foundation
Singular spaces from special holonomy and foliations
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
IM team members:
|
Zuevsky Alexander |
Participating institutions:
Faculty of Science, University of Hradec Králové, Coordinator
Institute of Mathematics, Czech Academy of Sciences
