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Among little-known fragments of sacramentaries, two examples in insular half uncial in German libraries offer us significant evidence of the activities of early English missionaries and scribes. The first has long been known in German as the Sacramentary of Boniface, and its unique and archaic content shows it is among the only surviving evidence of liturgical practice in England itself in the eighth century. The second, in scattered fragments from the monastery of Groß Sankt Martin in Cologne, offers an important witness of the Gelasian of the eighth century (as distinct from the Old Gelasian Sacramentary), a compilation exclusively known on the Continent. Liturgical evidence offers a framework to go beyond the uncertain attempts to date and localize the particularly conservative script of these fragments. Analysis of their content shows how English scribes made a decisive input to the transformations of the continent’s liturgy and the dissemination of new forms of mass book.
We study complete noncompact spacelike mean curvature flow solitons (SMCFS) in a standard static spacetime obeying a suitable constraint on the sectional curvature. In this context, we prove a version of the Omori–Yau generalized maximum principle and apply it to deduce that such an SMCFS must be maximal in the sense that its mean curvature vanishes identically. Next, we use other maximum principles which deal with the notions of convergence to zero at infinity and polynomial volume growth to prove rigidity results for SMCFS. Furthermore, we apply our previous results to establish nonexistence results concerning entire Killing graphs constructed over the Riemannian base of a standard static spacetime. Finally, we also exhibit an example showing the relevance of key hypotheses in our results.