The spread of the shape operator as conformal invariant.
The Srní lectures on non-integrable geometries with torsion
This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the notions of...
The stable homology of flat torus.
The Stable Topological-hyperbolic Space Form Problem for Complete Manifolds of Finite Volume.
The Steiner formulas for the open planar homothetic motions.
The strong halfspace theorem for minimal surfaces.
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 superposition operator in Musielak-Orlicz spaces of vector-valued functions
The symbol of a function of a pseudo-differential operator
We give an explicit formula for the symbol of a function of an operator. Given a pseudo-differential operator on with symbol and a smooth function , we obtain the symbol of in terms of . As an application, Bohr-Sommerfeld quantization rules are explicitly calculated at order 4 in .