A Classification of Cohomogeneity One Actions on the Minkowski Space $$\mathbb {R}^{3,1}$$Bulletin of the Iranian Mathematical Society - Tập 47 - Trang 1905-1924 - 2020
Parviz Ahmadi, Salim Safari, Masoud Hassani
The aim of this paper is to classify cohomogeneity one isometric actions on the
4-dimensional Minkowski space $$\mathbb {R}^{3,1}$$ , up to orbit equivalence.
Representations, up to conjugacy, of the acting groups in $$O(3,1) < imes
\mathbb {R}^{3,1}$$ are given in both cases, proper and non-proper actions. When
the action is proper, the orbits and the orbit spaces are determined.... hiện toàn bộ
Chuyển đổi Tính chất Star-C-Hurewicz trong các Không gian Tôpô Dịch bởi AI Bulletin of the Iranian Mathematical Society - Tập 46 - Trang 1101-1115 - 2019
Manoj Bhardwaj, B. K. Tyagi, Sumit Singh
Trong bài báo này, chúng tôi đã giới thiệu tính chất relatively star-C-Hurewicz
trong các không gian tôpô theo phương pháp của Bonanzinga và Pansera (Acta Math
Hungar 117(3):231–243, 2007) và Guido và Kočinac (Quest Answ Gen Topol
19:107–114, 2001). Một không gian con A của một không gian tôpô X được gọi là có
tính chất relatively star-C-Hurewicz trong X (viết tắt là RSCH) hoặc không gian
con star... hiện toàn bộ
#tính chất Hurewicz #không gian tôpô #tính chất star-C-Hurewicz #không gian con #tập compact
A Class of Finsler Metrics with Quadratic CurvaturesBulletin of the Iranian Mathematical Society - Tập 46 - Trang 53-65 - 2019
Bahman Rezaei, Mehran Gabrani
Finsler metrics of quadratic curvatures form a rich and important class of
metrics. In this paper, we study spherically symmetric metrics of quadratic
curvatures. We find equations that characterize R-quadratic spherically
symmetric Finsler metrics. In addition, we find the necessary and sufficient
conditions for the metrics to be W-quadratic and Ricci-quadratic types.
On a Class of Critical p-Biharmonic Kirchhoff Type Problems with Indefinite WeightsBulletin of the Iranian Mathematical Society - Tập 47 - Trang 1207-1225 - 2020
Nguyen Thanh Chung
Using the genus theory introduced by Krasnoselskii and a variant of the mountain
pass theorem due to Rabinowitz [24], we study the existence of solutions for the
following Kirchhoff type problem: $$\begin{aligned} {\left\{ \begin{array}{ll}
M\left( \int _\Omega |\Delta u|^p\,\mathrm{d}x\right) \Delta \Big (|\Delta
u|^{p{-}2}\Delta u\Big ) {=} \lambda
|u|^{p^{**}{-}2}u{+}a(x)|u|^{p{-}2}u{+}f(x,u), ... hiện toàn bộ
The Selectively Pseudocompact-Open Topology on C(X)Bulletin of the Iranian Mathematical Society - Tập 47 - Trang 1611-1628 - 2020
Juan Alberto Martínez-Cadena, Ángel Tamariz-Mascarúa
This paper studies the selectively pseudocompact-open topology on the set of the
real-valued continuous functions on a Tychonoff space, and compares this
topology with the $$\alpha $$ -open topology and the topology of uniform
convergence on the elements of $$\alpha $$ where $$\alpha $$ is one of the
following: $$\{X\}$$ , the finite subsets of X, the compact subsets of X, the
countably compact su... hiện toàn bộ
On the Entropy Formulas and Solitons for the Ricci-Harmonic FlowBulletin of the Iranian Mathematical Society - Tập 45 - Trang 1177-1192 - 2019
Abimbola Abolarinwa, Nathaniel K. Oladejo, Sulyman O. Salawu
This paper is concerned with entropy monotonicity formulas and classification of
gradient almost soliton for Ricci-harmonic flow. The new entropy formulas
introduced here are monotone in general along the flow and constant exactly on
shrinker or expander as the case may be. The consequence of this is the
nonexistence of periodic solutions except those that are gradient solitons.
Furthermore, the p... hiện toàn bộ
Phantom Envelopes and $$\mathrm{Ext}$$ -Phantom Covers of ModulesBulletin of the Iranian Mathematical Society - Tập 46 - Trang 441-455 - 2019
Lixin Mao
We first prove that if a monomorphism is a phantom envelope of a left R-module,
then its cokernel is pure-projective; if R is a left coherent ring and an
epimorphism is an $$\mathrm{Ext}$$-phantom cover of a left R-module, then its
kernel is pure-injective. Second, we characterize several rings such as left FC
rings and left semihereditary rings using phantom envelopes and
$$\mathrm{Ext}$$-phantom... hiện toàn bộ
Biconservative Hypersurfaces in Euclidean 5-SpaceBulletin of the Iranian Mathematical Society - Tập 45 - Trang 1117-1133 - 2019
Ram Shankar Gupta
We prove that every biconservative hypersurface M in $$\mathbb {E}^5$$ with
constant norm of second fundamental form has constant mean curvature.