We consider a curve α = α(s) in Minkowski 3-space E31 and denote by {T,N,B} the Frenet frame of α. We say that α is a slant helix if there exists a fixed direction U of E31 such that the function 〈N(s), U〉 is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of α. MSC: 53C40, 53C50

The structure of the general, inhomogeneous solution of (bosonic) Einstein-matter systems in the vicinity of a cosmological singularity is considered. We review the proof (based on ideas of BelinskiiKhalatnikov-Lifshitz and technically simplified by the use of the ArnowittDeser-Misner Hamiltonian formalism) that the asymptotic behaviour, as one approaches the singularity, of the general solutio...

We examine the pass-through of wholesale prices to retail prices in the market for E85, which contains 51% – 83% ethanol, and in the much larger market for E10 (regular unleaded gasoline), which contains 10% ethanol. We use a panel data set consisting of monthly observations from 2007-March 2015 on wholesale and retail prices for 274 Minnesota gas stations that sell both E10 and E85. The E10 ma...

We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises naturally as an in...

[This corrects the article on p. e31 in vol. 1, PMID: 25340083.].