In this paper, we study conformally flat almost Kenmotsu 3-manifolds such that (text {tr} , h^2) is a constant and (nabla _{xi }h=-2alpha hvarphi ) for some constant (alpha ). Moreover, we classify conformally flat H-almost Kenmotsu 3-manifolds.
In this paper, we study conformally flat almost Kenmotsu 3-manifolds such that (text {tr} , h^2) is a constant and (nabla _{xi }h=-2alpha hvarphi ) for some constant (alpha ). Moreover, we classify conformally flat H-almost Kenmotsu 3-manifolds.
In this paper, we consider the Schrödinger–Pauli problem on a finite square domain. Because of the boundary conditions we have proposed as a solution a suitable trigonometric series. We have shown that these coefficients exist and can be univocally determined by solving a simple algebraic system.
We study the invariants (alpha ) and (beta ), which correspond to the dimension of an abelian subalgebra (ideal resp.) of maximal dimension, in the context of Leibniz superalgebras. We prove that these invariants coincide if there is an abelian subalgebra of codimension one. We also examine the case in which the abelian subalgebras of maximal dimension are of codimension two. Finally, we study the (alpha ) and (beta ) invariants for some distinguished families of Leibniz superalgebras.
This paper studies the p-Frobenius vector of affine semigroups (Ssubset mathbb {N}^q). Defined with respect to a graded monomial order, the p-Frobenius vector represents the maximum element with at most p factorizations within S. We develop efficient algorithms for computing these vectors and analyze their behavior under the gluing operations with (mathbb {N}^q).
We study closed connected orientable 3-manifolds obtained by Dehn surgery along the oriented components of a link, introduced and considered by Motegi and Song (2005) and Ichihara et al. (2008). For such manifolds, we find a finite balanced group presentation of the fundamental group and describe exceptional surgeries. This allows us to construct an infinite family of tunnel number one strongly invertible hyperbolic knots with three parameters, which admit toroidal surgeries and Seifert fibered surgeries. Among the obtained results, we mention that for every integer (n >5) there are infinitely many hyperbolic knots in the 3–sphere, whose ((n-2)) and ((n+1))-surgeries are toroidal, and ((n-1)) and n-surgeries are Seifert fibered.
In this paper, we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can be seen as a generalization of previous work on reparametrization of ODEs and PDEs with radical coefficients.
The purpose of this article is to study the existence of periodic solutions for the p-Laplacian systems with delay
$$begin{aligned} -(|z'(t)|^{p-2}z'(t))'= & {} f(t,z(t+tau ),z(t),z(t-tau )), z(tau )-z(-tau )= & {} z'(tau )-z'(-tau )=0. end{aligned}$$Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order p-Laplacian systems with delay.
Let A act on a group G. A is said to act p-cyclically on G if (A^{{mathfrak {N}}_p {mathfrak {A}}_{p-1}}) acts stably on (G/O_{p'}(G)), and A is said to act cyclically on G if A acts p-cyclically on G for all primes p. In this paper, the actions of a group A on a p-group or p-soluble group G are investigated and some criteria of an action to be cyclic or p-cyclic are obtained.
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