The characterization of the gravitational field isolated objects is still an open question in quadratic theories gravity. We study static equilibrium solutions for a self-gravitating fluid extensions General Relativity including terms Weyl tensor $C_{\mu\nu\rho\sigma}$ and Ricci scalar $R$, as suggested by one-loop corrections to classical By means shooting method procedure we link total mass s...

Abstract We consider a smooth, compact and embedded hypersurface $$\Sigma $$ ? without boundary show that the corresponding (shifted) surface Stokes operator admits bounded $$H^\infty H ? -calculus with angle smaller than $$\pi /2$$ ?...

A topological group $X$ is called $duoseparable$ if there exists a countable set $S\subseteq X$ such that $SUS=X$ for any neighborhood $U\subseteq of the unit. We construct functor $F$ assigning to each (abelian) duoseparable (abelain-by-cyclic) $FX$, containing an isomorphic copy $X$. In fact, defined on category unital topologized magmas. Also we prove $\sigma$-compact locally compact abelian...

The dualised formulation of the symmetric space sigma model is peformed for a general scalar coset G/K where G is a maximally noncompact group and K it’s maximal compact subgroup.By using the twisted self-duality condition the general form of the first-order equations are obtained.The results are applied to the example of SL(2, R) /SO(2) scalar manifold of the IIB supergravity.

We discuss non-compact SL(2, R) sectors in N=4 SYM and in AdS string theory and compare their integrable structures. We formulate and solve the Riemann-Hilbert problem for the finite gap solutions of the classical sigma model and show that at one loop it is identical to the classical limit of Bethe equations of the spin (-1/2) chain for the dilatation operator of SYM.

An efficient and compact diode-pumped continuous-wave Yb:GdVO4 laser is demonstrated, generating an output power of 4.0 W with an optical conversion efficiency of 61% and a slope efficiency as high as 78%. With increasing pump power the polarization of the laser output changes from sigma to pi, while in a certain intermediate power range the two polarization states coexist with different emissi...

in this article‎, ‎we have characterized ideals in $c(x)$ in which‎ ‎every ideal is also an ideal (a $z$-ideal) of $c(x)$‎. ‎motivated by‎ ‎this characterization‎, ‎we observe that $c_infty(x)$ is a regular‎ ‎ring if and only if every open locally compact $sigma$-compact‎ ‎subset of $x$ is finite‎. ‎concerning prime ideals‎, ‎it is shown that‎ ‎the sum of every two prime (semiprime) ideals of e...

We adapt the viscosity method introduced by Rivière (Publ Math Inst Hautes Études Sci 126:177–246, 2017. https://doi.org/10.1007/s10240-017-0094-z ) to free boundary case. Namely, given a compact oriented surface $$\Sigma $$ , possibly with boundary, closed ambient Riemannian manifold $$({\mathcal {M}}^m,g)$$ and embedded submanifold $${\mathcal {N}}^n\subset {\mathcal {M}}$$ we study asymptoti...

Let (Ω,Σ) be a measurable space, with Σ a sigma-algebra of subset of Ω, and let C be a nonempty bounded closed convex separable subset of a Banach space X , whose characteristic of noncompact convexity is less than 1, KC(X) the family of all compact convex subsets of X . We prove that a multivalued nonexpansive non-self-random operator T :Ω×C → KC(X), 1-χ-contractive mapping, satisfying an inwa...

Invariant correlation functions for SO(1, N ) hyperbolic sigma-models are investigated. The existence of a large N asymptotic expansion is proven on finite lattices of dimension d ≥ 2. The unique saddle point configuration is characterized by a negative gap vanishing at least like 1/V with the volume. Technical difficulties compared to the compact case are bypassed using horospherical coordinat...