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math.DG2022
Reductive homogeneous spaces of the compact Lie group
Cristina Draper, Francisco J. Palomo
The first author defended her doctoral thesis Espacios homogéneos reductivos y álgebras no asociativas in 2001, supervised by P. Benito and A. Elduque. This thesis contained the cl…
math.DG2019
A new family of homogeneous Einstein manifolds based on symplectic triple systems
Cristina Draper
For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair rela…
math.DG2019
Holonomy and 3-Sasakian homogeneous manifolds versus symplectic triple systems
Cristina Draper
Our aim is to support the choice of two remarkable connections with torsion in a 3-Sasakian manifold, proving that, in contrast to the Levi-Civita connection, the holonomy group in…