There exists a prolongation functor of infinite order
TheStructure of Nearly Kähler Manifolds.
Theta functions on the Kodaira-Thurston manifold.
Thin Complements of Complete Kähler Domains.
Thomsen Surfaces in Affine 4-Space.
Three dimensional contact metric manifolds with vanishing Jacobi operator.
Three dimensional near-horizon metrics that are Einstein-Weyl
We investigate which three dimensional near-horizon metrics admit a compatible 1-form such that defines an Einstein-Weyl structure. We find explicit examples and see that some of the solutions give rise to Einstein-Weyl structures of dispersionless KP type and dispersionless Hirota (aka hyperCR) type.
Three natural generalizations of Fedosov quantization.
Three results on the regularity of the curves that are invariant by an exact symplectic twist map
A theorem due to G. D. Birkhoff states that every essential curve which is invariant under a symplectic twist map of the annulus is the graph of a Lipschitz map. We prove: if the graph of a Lipschitz map h:T→R is invariant under a symplectic twist map, then h is a little bit more regular than simply Lipschitz (Theorem 1); we deduce that there exists a Lipschitz map h:T→R whose graph is invariant under no symplectic twist map (Corollary 2).Assuming that the dynamic of a twist map restricted to a...
Three theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of the Cayley algebra.
Three-dimensional complex homogeneous complex contact manifolds.
Three-dimensional conformally flat pseudo-symmetric spaces of constant type
An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature.
Three-dimensional curvature homogeneous hypersurfaces
This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.
Three-dimensional hyperbolic geometry as ...-adic Arakelov geometry.
Three-dimensional locally symmetric almost Kenmotsu manifolds
We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.
Three-dimensional slant submanifolds of -contact manifolds.
Three-parametric robot manipulators with parallel rotational axes
The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel rotational axes. To describe them we use the theory of Lie groups and Lie algebras. An example of such motions are motions with the zero Coriolis accelerations. We will show that there are asymptotic motions with nonzero Coriolis accelerations. We introduce the notions of the Klein subspace, the Coriolis subspace and show their relation to asymptotic motions of robot manipulators. The asymptotic motions are...
Through the analytic halo: Fission via irregular singularities
This article is concerned with moduli spaces of connections on bundles on Riemann surfaces, where the structure group of the bundle may vary in different regions of the surface. Here we will describe such moduli spaces as complex symplectic manifolds, generalising the complex character varieties of Riemann surfaces.
Tight and 0-Tight Polyhedral Embeddings of Surfaces.
Tight contact structures and taut foliations.