Published volumes
19521968 Revista de la Unión Matemática Argentina y de la Asociación Física Argentina
19441951 Revista de la Unión Matemática Argentina; órgano de la Asociación Física Argentina
19361944

Online first articles
Articles are posted here individually soon after proof is returned from
authors, before the corresponding journal issue is completed. All
articles are in their final form, including issue number and pagination.
For recently accepted articles, see Articles in press.
Vol. 60, no. 2 (2019)
Linear Poisson structures and HomLie algebroids.
Esmaeil Peyghan, Amir Baghban, and Esa Sharahi
Considering HomLie algebroids in some special cases, we obtain some results of
Lie algebroids for HomLie algebroids. In particular, we introduce the local
splitting theorem for HomLie algebroids. Moreover, linear HomPoisson
structure on the dual Hombundle will be introduced and a onetoone
correspondence between HomPoisson structures and HomLie algebroids will be
presented. Also, we introduce Hamiltonian vector fields by using linear Poisson
structures and show that there exists a relation between these vector fields
and the anchor map of a HomLie algebroid.

299313 
On supersolvable
groups whose maximal subgroups of the Sylow subgroups are
subnormal.
Pengfei Guo, Xingqiang Xiu, and Guangjun Xu
A finite group $G$ is called an MSN$^{*}$group if it is supersolvable, and all
maximal subgroups of the Sylow subgroups of $G$ are subnormal in $G$. A group
$G$ is called a minimal nonMSN$^{*}$group if every proper subgroup of $G$ is
an MSN$^{*}$group but $G$ itself is not. In this paper, we obtain a complete
classification of minimal nonMSN$^{*}$groups.

315322 
Periodic
solutions of Euler–Lagrange equations in an anisotropic
Orlicz–Sobolev space setting.
Fernando D. Mazzone and Sonia Acinas
We consider the problem of finding periodic solutions of certain
Euler–Lagrange equations which include, among others, equations involving the
$p$Laplace operator and, more generally, the $(p,q)$Laplace operator. We
employ the direct method of the calculus of variations in the framework of
anisotropic Orlicz–Sobolev spaces. These spaces appear to be useful in
formulating a unified theory of existence of solutions for such a problem.

323341 
Classification of
left invariant Hermitian structures on 4dimensional noncompact rank one
symmetric spaces.
Srdjan Vukmirović, Marijana Babić, and Andrijana Dekić
The only 4dimensional noncompact rank one symmetric spaces are
$\mathbb{C}H^2$ and $\mathbb{R}H^4$. By the classical results of Heintze, one
can model these spaces by real solvable Lie groups with left invariant metrics.
In this paper we classify all possible left invariant Hermitian structures on
these Lie groups, i.e., left invariant Riemannian metrics and the corresponding
Hermitian complex structures. We show that each metric from the classification
on $\mathbb{C}H^2$ admits at least four Hermitian complex structures. One class
of metrics on $\mathbb{C}H^2$ and all the metrics on $\mathbb{R}H^4$ admit
2spheres of Hermitian complex structures.
The standard metric of $\mathbb{C}H^2$ is the only Einstein metric from the
classification, and also the only metric that admits Kähler structure,
while on $\mathbb{R}H^4$ all the metrics are Einstein. Finally, we examine the
geometry of these Lie groups: curvature properties, selfduality, and holonomy.

343358 
Almost
additivequadraticcubic mappings in modular spaces.
Mohammad Maghsoudi, Abasalt Bodaghi, Abolfazl Niazi
Motlagh, and Majid Karami
We introduce and obtain the general solution of a class of generalized
mixed additive, quadratic and cubic functional equations. We investigate the
stability of such modified functional equations in the modular space $X_\rho$
by applying the $\Delta_2$condition and the Fatou property (in some results) on
the modular function $\rho$. Furthermore, a counterexample for the even case
(quadratic mapping) is presented.

359379 
SUSY $N$supergroups and their real forms.
Rita Fioresi and Stephen D. Kwok
We study SUSY $N$supergroups, $N=1,2$, their classification and explicit
realization, together with their real forms. In the end, we give the supergroup
of SUSY preserving automorphisms of $\mathbb{C}^{11}$ and we identify it with a
subsupergroup of the SUSY preserving automorphisms of $\mathbb{P}^{11}$.

381390 
EtaRicci solitons on LPSasakian manifolds.
Pradip Majhi and Debabrata Kar
We consider $\eta$Ricci solitons on Lorentzian paraSasakian
manifolds with Codazzi type of the Ricci tensor. Then we study $\eta$Ricci
solitons on $\varphi$conformally semisymmetric, $\varphi$Ricci symmetric, and
conformally Ricci semisymmetric Lorentzian paraSasakian manifolds. Finally,
we construct an example of a three dimensional Lorentzian paraSasakian
manifold which admits $\eta$Ricci solitons with nonconstant scalar curvature.

391405 
Factorization of Frieze patterns.
Moritz Weber and Mang Zhao
In 2017, Michael Cuntz gave a definition of reducibility of a quiddity cycle of
a frieze pattern: It is reducible if it can be written as a sum of two other
quiddity cycles. We discuss the commutativity and associativity of this sum
operator for quiddity cycles and its equivalence classes, respectively.
We show that the sum is neither commutative nor associative, but we may
circumvent this issue by passing to equivalence classes. We also address the
question whether a decomposition of quiddity cycles into irreducible factors is
unique and we answer it in the negative by giving counterexamples. We conclude
that even under stronger assumptions, there is no canonical decomposition.

407415 
Conformal and Killing vector fields on real submanifolds of the canonical
complex space form $\mathbb{C}^{m}$.
Hanan Alohali, Haila Alodan, and Sharief Deshmukh
In this paper, we find a conformal vector field as well as a Killing vector
field on a compact real submanifold of the canonical complex space form
$\left(\mathbb{C}^{m},J,\left\langle\,,\right\rangle\right)$. In particular,
using immersion $\psi :M\rightarrow\mathbb{C}^{m}$ of a compact real
submanifold $M$ and the complex structure $J$ of the canonical complex space
form $\left(\mathbb{C}^{m},J,\left\langle\,,\right\rangle\right)$, we find
conditions under which the tangential component of $J\psi$ is a conformal
vector field as well as conditions under which it is a Killing vector field.
Finally, we obtain a characterization of $n$spheres in the canonical complex
space form $\left(\mathbb{C}^{m},J,\left\langle\,,\right\rangle\right)$.

417430 
On $k$circulant
matrices involving the Jacobsthal numbers.
Biljana Radičić
Let $k$ be a nonzero complex number. We consider a $k$circulant matrix whose
first row is $(J_{1},J_{2},\dots,J_{n})$, where $J_{n}$ is the $n^\text{th}$
Jacobsthal number, and obtain the formulae for the eigenvalues of such matrix
improving the formula which can be obtained from the result of Y. Yazlik and
N. Taskara [J. Inequal. Appl. 2013, 2013:394, Theorem 7]. The
obtained formulae for the eigenvalues of a $k$circulant matrix involving the
Jacobsthal numbers show that the result of Z. Jiang, J. Li, and N. Shen
[WSEAS Trans. Math. 12 (2013), no. 3, 341–351, Theorem 10]
is not always applicable. The Euclidean norm of such matrix is determined. We
also consider a $k$circulant matrix whose first row is
$(J_{1}^{1},J_{2}^{1},\dots,J_{n}^{1})$ and obtain the upper and lower
bounds for its spectral norm.

431442 
Existence and uniqueness
of solutions to distributional differential equations involving
Henstock–Kurzweil–Stieltjes integrals.
Guoju Ye, Mingxia Zhang, Wei Liu, and Dafang Zhao
This paper is concerned with the existence and uniqueness of
solutions to the second order distributional differential equation
with Neumann boundary value problem via Henstock–Kurzweil–Stieltjes
integrals.The existence of solutions is derived from Schauder's
fixed point theorem, and the uniqueness of solutions is established
by Banach's contraction principle. Finally, two examples are
given to demonstrate the main results.

443458 
Conformal
semiinvariant Riemannian maps to Kähler manifolds.
Mehmet Akif Akyol and Bayram Şahin
As a generalization of CRsubmanifolds and semiinvariant Riemannian maps, we
introduce conformal semiinvariant Riemannian maps from Riemannian manifolds to
almost Hermitian manifolds. We give nontrivial examples, investigate the
geometry of foliations, and obtain decomposition theorems by using the existence
of conformal Riemannian maps. We also investigate the harmonicity of such maps
and find necessary and sufficient conditions for conformal antiinvariant
Riemannian maps to be totally geodesic.

459468 
