An Ehresmann connection on a fiber bundle pi: E --> M is defined by prescribing a suitable horizontal subbundle H of the tangent bundle piT: TE --> E. For a horizontal bundle to be suitable, it must have a property called ...

We present an approach to the problem of the blow up at the triple junction of three uids in equilibrium. Although many of our results can already be found in the literature, our approach is almost self-contained and uses ...

For dimensions n >= 3, we show that the space Riem(+)(S-n) of metrics of positive scalar curvature on the sphere S-n is homotopy equivalent to a subspace of itself which takes the form of an H-space with a homotopy ...

The harmonic-measure distribution function, or h-function, of a planar domain Ω ⊂ C with respect to a basepoint z0 ∈ Ω is a signature that profiles the behaviour in Ω of a Brownian particle starting from z0. Explicit ...

We investigate the effects of messenger-matter mixing on the lightest CP-even Higgs boson mass m(h) in gauge-mediated supersymmetry breaking models. It is shown that with such mixings m(h) can be raised to about 125 GeV, ...

Let Gamma be a C-infinity curve in C containing 0; it becomes Gamma(theta) after rotation by angle theta about 0. Suppose a C-infinity function f can be extended holomorphically to a neighborhood of each element of the ...

We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space M / G to the corresponding G-manifold, M. We apply the results to get new examples of Riemannian manifolds that satisfy both curvature ...

This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of close-to-touching discs. The method is presented in detail for the two-disc case. The ...

Iron carbide was prepared by the carburization of iron oxalate doped with various alkali metals in flowing CO at 400 degrees C. The addition of alkali metal (Li, Na, K, Rb or Cs) to iron oxalate was found to decrease the ...

This paper introduces several vector random fields whose finite-dimensional characteristic functions are of hyperbolic type, including generalized logistic, hyperbolic secant, hyperbolic tangent, hyperbolic cosine ratio, ...