3 papers
math.DG2020
Curvature of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study the behavior of connections and curvature under the HK/QK correspondence, proving simple formulae expressing the Levi-Civita connection and Riemann curvature tensor on the…
math.DG2020
Symmetries of quaternionic Kähler manifolds with -symmetry
V. Cortés, A. Saha, D. Thung
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra of infinitesimal automorphisms of the initial…
math.DG2019
The complex geometry of two exceptional flag manifolds
D. Kotschick, D. K. Thung
We discuss the complex geometry of two complex five-dimensional Kähler manifolds which are homogeneous under the exceptional Lie group . For one of these manifolds rigidity of…