74 citations · 110 across the 13 of their papers we have counts for
9 papers · 1 filter
Almost formality of manifolds of low dimension
Domenico Fiorenza, Kotaro Kawai, Hông Vân Lê +1
In this paper we introduce the notion of Poincaré DGCAs of Hodge type, which is a subclass of Poincaré DGCAs encompassing the de Rham algebras of closed orientable manifolds. Then…
Frölicher-Nijenhuis cohomology on - and -manifolds
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
In this paper we show that a parallel differential form of even degree on a Riemannian manifold allows to define a natural differential both on and ,…
Frölicher-Nijenhuis bracket and geometry of -and -manifolds
Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer
We extend the characterization of the integrability of an almost complex structure on differentiable manifolds via the vanishing of the Frölicher-Nijenhuis bracket $[J, J] ^{FN…
Parametrized measure models
Nihat Ay, Jürgen Jost, Hông Vân Lê +1
We develope a new and general notion of parametric measure models and statistical models on an arbitrary sample space which does not assume that all measures of the model have…
Lagrangian submanifolds in strictly nearly Kähler 6-manifolds
Hông Vân Lê, Lorenz Schwachhöfer
Lagrangian submanifolds in strict nearly Kähler 6-manifolds are related to special Lagrangian submanifolds in Calabi-Yau 6-manifolds and coassociative cones in -manifolds. We…
Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles
Roger Bielawski, Lorenz Schwachhöfer
We discuss the Euclidean limit of hyperbolic SU(2)-monopoles, framed at infinity, from the point of view of pluricomplex geometry. More generally, we discuss the geometry of hyperc…
Cohomogeneity one disk bundles with normal homogeneous collars
Lorenz J. Schwachhoefer, Kristopher Tapp
We consider cohomogeneity one homogeneous disk bundles and adress the question when these admit a nonnegatively curved invariant metric with normal collar, i.e., such that near the…
Addendum to "Classification of irreducible holonomies of torsion-free affine connection"
Sergei Merkulov, Lorenz Schwachhöfer
The real form Spin(6,H) in End(R^{32}) of Spin(12,C) in End(C^{32}) is absolutely irreducible and thus satisfies the algebraic identities (40) and (41). Therefore, it also occurs a…
Classification of irreducible holonomies of torsion-free affine connections
Sergei Merkulov, Lorenz Schwachhöfer
The subgroups of GL(n,R) that act irreducibly on R^n and that can occur as the holonomy of a torsion-free affine connection on an n-manifold are classified, thus completing the wor…