Phenolic cutter for machining foam insulation

Pre-pregged fiber glass is an efficient abrasive for machining polystyrene and polyurethane foams. It bonds easily to any cutter base made of aluminum, steel, or phenolic, is inexpensive, and is readily available

3-quasi-Sasakian manifolds

In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation. Locally, the leaves of this foliation turn out to be Lie groups: either the orthogonal group or an abelian one. We show that 3-quasi-Sasakian manifolds have a well-defined rank, obtaining a rank-based classification. Furthermore, we prove a splitting theorem for these manifolds assuming the integrability of one of the almost product structures. Finally, we show that the vertical distribution is a minimum of the corrected energy.Comment: 17 pages, minor modifications, references update

Transistor Circuits

Contains reports on two research projects

Bi-Legendrian manifolds and paracontact geometry

We study the interplays between paracontact geometry and the theory of bi-Legendrian manifolds. We interpret the bi-Legendrian connection of a bi-Legendrian manifold M as the paracontact connection of a canonical paracontact structure induced on M and then we discuss many consequences of this result both for bi-Legendrian and for paracontact manifolds. Finally new classes of examples of paracontact manifolds are presented.Comment: to appear in Int. J. Geom. Meth. Mod. Phy

New Labour's communitarianisms

This article argues that communitarianism can be analysed on different levels — sociological, ethical and meta—ethical — and along different dimensions — conformist/pluralist, more conditional/less conditional, progressive/conservative, prescriptive/voluntary, moral/socioeconomic and individual/corporate. We argue that New Labour's communitarianism is a response to both neo-liberalism and old social democracy. It is sociological, ethical and universalist rather than particularist on the meta-ethical level. Labour increasingly favours conditional, morally prescriptive, conservative and individual communitarianisms. This is at the expense of less conditional and redistributional socioeconomic, progressive and corporate communitarianisms. It is torn between conformist and pluralist versions of communitarianism. This bias is part of a wider shift in Labour thinking from social democracy to a liberal conservatism which celebrates the dynamic market economy and is socially conservative