4 papers
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…
The Cramér-Rao inequality on singular statistical models I
Jürgen Jost, Hông Vân Lê, Lorenz Schwachhöfer
We introduce the notion of the essential tangent bundle of a parametrized measure model and the notion of reduced Fisher metric on a (possibly singular) 2-integrable measure model.…
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…