The Structure of Minimizing Hypersurfaces Mod 4.
The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on .
The structure of reachable sets for affine control systems induced by generalized Martinet sub-lorentzian metrics
In this paper we investigate analytic affine control systems q̇ = X + uY, u ∈ [a,b] , where X,Y is an orthonormal frame for a generalized Martinet sub-Lorentzian structure of order k of Hamiltonian type. We construct normal forms for such systems and, among other things, we study the connection between the presence of the singular trajectory starting at q0 on the boundary of the reachable set from q0 with the minimal number of analytic functions needed for describing the reachable set from q0.
The structure of semitopological monoids defined on compact connected 3-manifolds.
The structure of single-periodic minimal surfaces.
The structure of smooth mappings over Weil algebras and the category of manifolds over algebras.
The Structure of Stationary One Dimensional Varifolds with Positive Density.
The structure of the cut locus in dimension less than or equal to six
The structure of the space of solutions of Einstein's equations. I. One Killing field
The Structure on a Subspace of a Space with an F(3,-1)-structure
The structure on a subspace of a space with an f(3,-1)-structure.
The structure tensor and first order natural differential operators
The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order -natural differential operators for .
The symplectic geometry of affine connenctions on surfaces.
The symplectic Thom conjecture.
The systolic constant of orientable Bieberbach 3-manifolds
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds are aspherical, therefore the supremum of their systolic ratio, over the set of Riemannian metrics, is finite by a fundamental result of M. Gromov. We study the optimal systolic ratio of compact -dimensional orientable Bieberbach manifolds which are not tori, and prove that it cannot be realized by a flat metric. We also highlight a metric that we construct on one type of such manifolds () which...
The Tanaka-Webster connection for almost -manifolds and Cartan geometry
We prove that a CR-integrable almost -manifold admits a canonical linear connection, which is a natural generalization of the Tanaka–Webster connection of a pseudo-hermitian structure on a strongly pseudoconvex CR manifold of hypersurface type. Hence a CR-integrable almost -structure on a manifold is canonically interpreted as a reductive Cartan geometry, which is torsion free if and only if the almost -structure is normal. Contrary to the CR-codimension one case, we exhibit examples of non normal...
The tangent bundle of an almost-complex free loopspace.
The tangent bundle of -velocities over a homogeneous space
The Tangent cone of an Aleksandrov space of curvature.
The theorem of desargues in planes with analogues to Euclidian angular bisectors.