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Étale covers of a punctured p-adic disc
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Werner Lütkebohmert Thorsten SchmechtaThe aim of this paper is to report on recent work on éetale covers of the punctured disc. The paper surveys basic results on curves over p-adic fields and explains ideas of Riemann's existence problem for a p-adic field giving... -
Cavalieri integration
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: E.R. Ackermann --- Computational and Applied Mathematics Department, USA T.L. Grobler --- Department of Electrical, Electronic and Computer Engineering, South Africa W. Kleynhans --- Department of Electrical, Electronic and Computer Engineering, South Africa J.C. Olivier --- School of Engineering, Australia B.P. Salmon --- Department of Electrical, Electronic and Computer Engineering, South Africa A.J. van Zyl --- Department of Mathematics and Applied Mathematics, South AfricaWe use Cavalieri's principle to develop a novel integration technique which we call Cavalieri integration. Cavalieri integrals differ from Riemann integrals in that non-rectangular integration strips are used. In this way we can use single Cavalieri integrals to find the... -
Slant Riemannian maps from almost Hermitian manifolds
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Bayram Ṣahin --- Department of Mathematics, TurkeyAs a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples, obtain the existence conditions of slant Riemannian maps and investigate harmonicity of such maps... -
Curvature properties of metric and semi-symmetric linear connections
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Miloš Z. Petrović --- , Serbia Nenad O. Vesić --- , Serbia Milan Lj. Zlatanović --- , SerbiaConsidering a non-symmetric linear connection and its dual one appear 6 independent curvature tensors [15]. In the present paper we study properties of curvature tensors of semi-symmetric metric connections on a generalized Riemannian manifold. -
Joint discrete universality for periodic zeta-functions. IV
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Antanas Laurinčikas --- Vilnius University, LithuaniaIn the paper, a theorem on the approximation of collections of a wide class of analytic functions by collections of shifts of zeta-functions with periodic co-efficients involving imaginary parts of non-trivial zeros of the Riemann zeta-function is obtained. For this,... -
On the almost h-conformal semi-invariant Riemannian maps
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Kwang Soon Park --- University of Seoul, Republic of Korea Sylvia Szabo --- College of Future Convergence, Dongguk University, Republic of KoreaIn this paper, we introduce hsR maps and ahsR maps from almost quaternionic Hermitian manifolds into Riemannian manifolds as a generalization of almost h-conformal semi-invariant submersions and conformal semi-invariant Riemannian maps. We give some examples of these maps and study... -
Stability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation laws
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Shiwei Li --- Henan University of Engineering, P.R. ChinaThis paper is concerned with Riemann problem for a class of non-strictly hyperbolic systems of conservation laws. The two kinds of Riemann solutions including vacuum and delta shock wave are constructed. Under the generalized Rankine-Hugoniot relation and entropy condition, we... -
Concircularly semi-symmetric metric connection
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Miroslav D. Maksimović --- University of Priština in Kosovska Mitrovica, Serbia Miloš Z. Petrović --- University of Niš, Serbia Nenad O. Vesić --- Mathematical Institute of Serbian Academy of Sciences and Arts, University of Belgrade, Milan Lj. Zlatanović --- University of Niš, SerbiaResults on a concircularly semi-symmetric metric connection on a Riemannian manifold are presented. Six linearly independent curvature tensors with respect to this non-symmetric linear connection are studied, and the tensors coincident with the Weyl projective curvature tensor and the concircular... -
On the extension of the Voronin universality theorem for the Riemann zeta-function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Antanas Laurinčikas --- Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, LithuaniaIn the paper, we prove a general universality theorem for the Riemann zeta-function ζ (s) on approximation of a class of analytic functions by generalized shifts ζ (s + ia(τ)). Here a(τ) is a real-valued continuous increasing to +∞ function,... -
On slant Riemannian submersions from conformal Sasakian manifolds
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mehraj Ahmad Lone --- National Institute of Technology Srinagar, India Towseef Ali Wani --- National Institute of Technology Srinagar, IndiaIn this paper, we study slant Riemannian submersions from conformal Sasakian manifolds onto Riemannian manifolds. We investigate the geometry of foliations associated with the submersion and give sufficient conditions for the submersion to be harmonic. -
On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: B.Yu. Irgashev --- New Uzbekistan University, UzbekistanIn this article, a representation of the solution of the Cauchy problem for an equation of high even order with a fractional derivative in the Riemann-Liouville sense of order greater than one is obtained. The uniqueness of the solution is... -
Conformally related invariant (α, β)-metrics on homogeneous spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Azar Fatahi --- University of Isfahan, Iran Masoumeh Hosseini --- University of Isfahan, Iran Hamid Reza Salimi Moghaddam --- University of Isfahan, IranIn this paper, we give the flag curvature formula of general (α, β)-metrics of Berwald type. We study conformally related (α, β)-metrics, especially general (α, β)-metrics that are conformally related to invariant (α, β)-metrics. Also, a necessary and sufficient condition... -
Fractional integral inequalities for s-convex functions in the first sense
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Gültekin Tınaztepe --- Akdeniz University, Turkey Ilknur Yesilce Isik --- Aksaray University, TurkeyCertain fractional integral inequalities via general fractional integral operator are presented for s-convex functions in the first sense. Also, they are restated in terms of the Riemann-Liouville and Hadamard fractional integrals and illustrated.