Abstract We give a one-parameter family of examples shrinking Laplacian solitons, which are the second known solutions to closed G2-Laplacian flow with finite-time singularity. The torsion forms and Ricci operators large G2-structures on different Lie groups also studied. apply these formulas prove that, under suitable extra condition, there is no eigenform for such family.

dans une même page, l’une des dernières du temps retrouvé, proust mentionne des œuvres littéraires ayant une sorte de correspondance avec son livre. en effet il existe des ressemblances dans son œuvre et les mille et une nuits que marcel proust ne s’en cache pas et en tire partie sous forme de métaphores. par le biais des personnages et du narrateur, nous sommes confrontés aux moments d’extra-t...

background all conditions that interfere with blood flow at any level within the portal system can lead to portal hypertension. for better management of this disorder, it is important to determine the underlying cause. in previ­ous studies, extra-hepatic disorders have been reported as the main cause of portal hypertension in children. in this study, we investigate the under­lying causes of por...

many extra-intestinal manifestations are associated with celiac disease. one of the most important of them is hepatobiliary abnormalities. this association is recently under consideration. we report a 34-year-old man with elevated liver enzymes and primary diagnosis of nonalcoholic fatty liver disease. further follow up revealed celiac disease as the proper diagnosis in this patient.

The trachea is an unusual site for paragangliomas, only four cases having been documented previously. A fifth case is presented here, together with immunohistochemical evidence that the tumour is biologically benign.

The histological and clinical features of a primary chemodectoma arising in the orbit are described. It is suggested that the tumour may have arisen from chemoreceptor tissue in the area of the lacrimal gland.

We prove that there exists no sentence F of the language of rings with an extra binary predicat I satisfying the following property for every de nable set X C X is connected if and only if C X j F where I is interpreted by X We conjecture that the same result holds for the closed subsets of C We prove some results motivated by this conjecture