We show that there exist smooth, simply connected, fourdimensional spin manifolds which do not admit Einstein metrics, but nonetheless satisfy the strict Hitchin-Thorpe inequality. Our construction makes use of the Bauer/Furuta cohomotopy refinement of the Seiberg-Witten invariant [3, 9], in conjunction with curvature estimates previously proved by the second author [17]. These methods also all...

In this paper we shall show that certain estimates for the Euclidean wave equation also hold on Riemannian manifolds with smooth, strictly geodesically concave boundaries. By the last condition, we understand that the second fundamental form on the boundary of the manifold is strictly positive definite. We shall then give two applications of our estimates. First, we shall show that if n is the ...

Introduction. Both statins and regular physical activity (PA) reduce arterial stiffness. The present post hoc analysis examined if arterial stiffness was improved with high-dose atorvastatin treatment in healthy adults and whether PA levels magnified this response. We utilized data from a double-blind, random-assignment clinical trial investigating the effects of atorvastatin 80 mg/d for 6 mo o...

The origin and spread of excitation were visualized with fluo 3 fluorescence in tissues isolated from canine gastric antrum. Sheets of circular muscle (5 × 6 mm) had at least 1 (30%) and up to 3 discrete slow-wave pacing sites located near the longitudinal-circular muscle boundary, whereas similarly sized longitudinal sheets had an average of 5 sites (range 3-12 sites) that initiated Ca2+ waves...

In this article, we first prove that there exists a smooth foliation near codimension one skeleton which is transversal to the Reeb vector field on the contact manifold. Second, we use it to prove that there exists a smooth Poincare section for the Legendre submanifold. Third, we give a proof on the Arnold chord conjecture which states that every Reeb flow has at least as many Reeb chords as a ...

Increasingly internationalised student cohorts within planning schools offer opportunities to enhance existent learning, but may also present potential issues, such as language difficulties, cultural disorientation, and the need assimilate learning styles, internationalise curricula, varying pedagogic teaching all of which can impact staffing costs. In 2016 Department Planning Geography at Univ...