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[en] A model for superconductor, based on massive electrodynamics in spaces with torsion is given. The generalized London equations for Cartan spaces are presented. From the London equations we show that it is possible to obtain an expression for the magnetic permeability constant in vacuum in terms of the time component of the torsion vector. 14 refs

[en] The components of the torsion and curvature tensors in simple (N = 1) supergravity are explicitly expressed in terms of the axial gravitational superfield. The derivation is considerably simplified by the use of the normal gauge in supergravity

[en] For an arithmetic model X→C of a smooth regular projective variety V over a global field k of positive characteristic, we prove the finiteness of the l-primary component of the group Br'(X) under the conditions that l does not divide the order of the torsion group [NS(V)]_tors and the Tate conjecture on divisorial cohomology classes is true for V

[en] In a recent paper (J M Hoff da Silva and da Rocha R 2009 Class. Quantum Grav. 26 055007) it is concluded that the Darmois-Israel junction conditions in the presence of torsion are not modified. We point out that this conclusion is invalid. (comments and replies)

[en] Inspired by the seminal works of Eshelby (Philos Trans R Soc A 244A:87–112, 1951, J Elast 5:321–335, 1975) on configurational forces and of Noll (Arch Ration Mech Anal 27:1–32, 1967) on material uniformity, we study a thermoelastic continuum undergoing volumetric growth and in a dynamical setting, in which we call the divergence of the Eshelby stress the Eshelby force. In the classical statical case, the Eshelby force coincides with the negative of the configurational force. We obtain a differential identity for the modified Eshelby stress, involving the torsion of the connection induced by the material isomorphism of a uniform body, which includes, as a particular case, that found by Epstein and Maugin (Acta Mech 83:127–133, 1990). In this identity, the divergence of the modified Eshelby stress with respect to this connection of the material isomorphism takes the name of modified Eshelby force. Moreover, we show that Eshelby’s variational approach (1975) can be used to formulate not only the balance of material momentum, but also the balance of energy. In this case, we find that what we call Eshelby power is the temporal analogue of the Eshelby force, and we obtain a differential identity for the modified Eshelby power. This leads to concluding that the driving force for the process of growth–remodelling is the Mandel stress. Eventually, we find that the relation between the differential identities for the modified Eshelby force and modified Eshelby power represents the mechanical power expended in a uniform body to make the inhomogeneities evolve.

[en] We investigate torsion-free Abelian groups that are decomposable into direct sums or direct products of homogeneous groups normally defined by their holomorphs. Properties of normal Abelian subgroups of holomorphs of torsion-free Abelian groups are also studied.

[en] In most cases of testicular torsion the patient presents an anatomic predisposition due to a congenital abnormality of the tunica vaginalis, the so-called bell and clapper malformation. We present six cases of testicular torsion in which ultrasound disclosed the presence of a grossly lobular, extra testicular, echogenic mass. At surgery, it was found to coincide with the morphological changes exhibited by torsion of mediastinum testis and spermatic cord. Th knowledge of the nature of this image prevents its erroneous interpretation and its being confused with other structures such as enlarged epididymis testicular appendages, scrotal hernia, etc. (Author) 17 refs

[en] Abelian groups with commutative commutators of endomorphisms are studied. The structure of these groups is described among torsion, completely decomposable, coperiodic, and split mixed groups.

[en] In this brief reply, we elucidate some missing points in the comment (Khakshournia S 2009 Class. Quantum Grav. 26 178001) on our original paper (Hoff da Silva J M and da Rocha R 2009 Class. Quantum Grav. 26 055007), explicitly showing that the comment is unfounded in this context. We show that the term proposed equals zero, since the brane discontinuity is correctly defined in the torsion. (comments and replies)