3 papers
math.DG2023
Rolling Stiefel manifolds equipped with -metrics
Markus Schlarb, Knut Hüper, Irina Markina +1
We discuss the rolling, without slip and without twist, of Stiefel manifolds equipped with -metrics, from an intrinsic and an extrinsic point of view. We, however, start with a…
math.DG2023
Rolling Reductive Homogeneous Spaces
Markus Schlarb
Rollings of reductive homogeneous spaces are investigated. More precisely, for a reductive homogeneous space with reductive decomposition $\mathfrak{g} = \mathfrak{h} \oplu…
math.DG2023
Covariant Derivatives on Homogeneous Spaces -- Horizontal Lifts and Parallel Transport
Markus Schlarb
We consider invariant covariant derivatives on reductive homogeneous spaces corresponding to the well-known invariant affine connections. These invariant covariant derivatives are…