In hot forming process, the workpiece undergoes plastic deformation at high temperature and the microstructure of the workpiece changes according to the plastic deformation. These changes affect the mechanical properties of workpiece. In order to optimize this process, both the plastic deformation of workpiece and its microstructural changes should be taken into consideration. Since material be...

In this paper we present a new way of measuring brain variability based on the registration of sulcal lines sets in the large deformation framework. Lines are modelled geometrically as currents, avoiding then matchings based on point correspondences. At the end we retrieve a globally consistent deformation of the underlying brain space that best matches the lines. Thanks to this framework the m...

BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The expl...

Parfit argues that a form of rule consequentialism can be derived from the most plausible formulation of the fundamental principle of Kantian ethics. And so he concludes that Kantians should be consequentialists. I argue that we have good reason to reject two of the auxiliary premises that figure in Parfit’s derivation of rule consequentialism from Kantianism. In chapter 16 of On What Matters,...

We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doubling the number of variables through Volterra’s coordinate transformation. An application of Oevel’s theorem yields master symmetries, invariants and deformation relations. MSC 37J35, 70H06 keywords: Volterra system, ...

For an arbitrary identity L = R between compositions of maps L and R on tensors of vector spaces V , a general construction of a 2-cocycle condition is given. These 2-cocycles correspond to those obtained in deformation theories of algebras. The construction is applied to a canceling pairings and copairings, with explicit examples with calculations. Relations to the Kauffman bracket and knot in...