Chaotic foliations generalize Devaney's concept of chaos for dynamical systems. The
property of a foliation to be chaotic is transversal, ie, depends on the structure of the leaf …

For several classes of second-order dispersionless PDEs, we show that the symbols of their
formal linearizations define conformal structures that must be Einstein-Weyl in 3D (or self …

The classification of CR hypersurfaces M 2 n+ 1⊂ C n+ 1 up to biholomorphic equivalences,
notably the homogeneous ones, is a vast problem, especially in dimension 5, ie for n= 2 …

The equations governing anti-self-dual and Einstein-Weyl conformal geometries can be
regarded as “master dispersionless systems” in four and three dimensions, respectively …

We develop a holonomy reduction procedure for general Cartan geometries. We show that,
given a reduction of holonomy, the underlying manifold naturally decomposes into a disjoint …

We study the Hitchin component in the space of representations of the fundamental group of
a Riemann surface into a split real simple Lie group in the rank 2 case. We prove that such …

The main result of this paper is that a Lorentzian manifold is locally conformally equivalent to
a manifold with recurrent lightlike vector field and totally isotropic Ricci tensor if and only if its …

On a natural circle bundle T (M) T (M) over a 4-dimensional manifold M equipped with a split
signature metric g, whose fibers are real totally null selfdual 2-planes, we consider a …

The “dancing metric” is a pseudo-Riemannian metric $\bf {g} $ of signature (2, 2) on the
space $ M^ 4$ of non-incident point-line pairs in the real projective plane $\mathbb {RP} …

Our paper explores warped product pointwise semi-slant submanifolds with a semi-
symmetric metric connection in an odd-dimensional sphere and uncovers fundamental …