We introduce the (2+1)-spacetimes with compact space of genus g ≥ 0 and r gravitating particles which arise by Minkowskian suspensions of flat or hyperbolic cone surfaces, by distinguished deformations of hyperbolic suspensions and by patchworking of suspensions. Similarly to the matter-free case, these spacetimes have nice properties with respect to the canonical Cosmological Time Function. Wh...

In the topology of coordinatewise convergence ∇∞ is a compact, metrizable and separable space. Denote by C(∇∞) the algebra of real continuous functions on ∇∞ with pointwise operations and the supremum norm. In C(∇∞) there is a distinguished dense subspace F := R [q1, q2, . . . ] generated (as a commutative unital algebra) by algebraically independent continuous functions qk(x) := ∑∞ i=1 x k+1 i...

let $omega_x$ be a bounded, circular and strictly convex domain of a banach space $x$ and $mathcal{h}(omega_x)$ denote the space of all holomorphic functions defined on $omega_x$. the growth space $mathcal{a}^omega(omega_x)$ is the space of all $finmathcal{h}(omega_x)$ for which $$|f(x)|leqslant c omega(r_{omega_x}(x)),quad xin omega_x,$$ for some constant $c>0$, whenever $r_{omega_x}$ is the m...

It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this work, we disprove common lore by presenting theory for all topological ideal flatbands with nonzero number $\mathcal{C}$. The smooth single-particle Bloch wave function proven to admit an exact color-entangled form superpos...

cheilosia (convocheila) cumanica szilady is recorded for the first time from iran. this species is similar to c. laticornis rondani morphologically; however, is distinguished from this close species in male by hairy eyes (bare in c. laticornis) and in female by longer third antennal segment that is three times longer than the second segment (less than 2.5 times in c. laticornis). this finding i...