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Cohomology in algebra, geometry, physicsand statistics
Quaternion-Hermitian Structures with Large Symmetry Algebra
Speaker’s name:
Henrik Winther
Speaker’s affiliation:
Brno Masaryk University
Place:
in IM building, ground floor
Date:
Wednesday, 15. May 2019 - 11:30 to 12:30
Abstract:
We consider the geometric implications of high symmetry dimension for almost quaternion-Hermitian structures, a generalization of the quaternion-Kähler condition. In particular we obtain the submaximal symmetry dimension and the symmetry gap, and classify all models which admit these symmetry dimensions. We identify models which are quaternion Kähler, locally conformally quaternion-Kähler, and quaternion Kähler with torsion.