01About This Special Issue
It is known that the Geometry is a special branch of Mathematics and a lot of scientists have given valuable contributions to Geometry. And also Differential geometry is studied enjoyable and have a lot of applications. I want that the mathematicians may share their findings with the other mathematicians and studiers.02Meet the Guest Editors
Our distinguished editors bring deep subject-matter expertise to curate high-quality research and ensure a rigorous peer-review process.
Lead Guest Editor
Filiz Ertem Kaya
Department of Mathematics, Faculty of Science-Art, University of Omer Halisdemir, Nigde, Turkey
Guest Editor
Keziban Orbay
Mathematic Department, Education Faculty, Amasya University, Amasya, Turkey
03Published Articles
The following articles have been published in this special issue.
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On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor
Issue: Volume 4, Issue 1-2, January 2015Pages: 31-34Received: 10 March 2015Accepted: 18 March 2015Published: 11 April 2015DOI: 10.11648/j.pamj.s.2015040102.18Downloads:Views:Abstract: We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) ̃(ξ,X)R=0, (Z ) ̃(ξ,X) (Z ) ̃=0, (Z ) ̃(ξ,X)S=0 and (Z ) ̃(ξ,X)P=0, where (Z ) ̃ is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold. -
Generalized Nörlund Summability of Fuzzy Real Numbers
Issue: Volume 4, Issue 1-2, January 2015Pages: 28-30Received: 9 December 2014Accepted: 23 December 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.17Downloads:Views:Abstract: Fuzzy set, mathematical modelling in order to some uncertainty in 1965 was described by L. A. Zadeh [7]. In studies on fuzzy sets, fuzzy numbers [5], fuzzy relations [5], fuzzy function [5], fuzzy sequence [4] is defined as concepts. After Nörlund fuzzy and blurry Riez summability have been identified [6]. In this study, fuzzy Generalized Nörlund s... Show More -
Constant Curvatures of Parallel Hypersurfaces in E1n+1Lorentz Space
Issue: Volume 4, Issue 1-2, January 2015Pages: 24-27Received: 26 November 2014Accepted: 4 December 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.16Downloads:Views:Abstract: In this paper generalized Gaussian and mean curvatures of a parallel hypersurface in E^(n+1) Euclidean space will be denoted respectively by K ̅ and H ̅, and Generalized Gaussian and mean curvatures of a parallel hypersurface in E₁ⁿ⁺¹ Lorentz space will be denoted respectively by K ̿ and H ̿.Generalized Gaussian curvature and mean curvatures, K ̅an... Show More -
Issue: Volume 4, Issue 1-2, January 2015Pages: 19-23Received: 21 November 2014Accepted: 24 November 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.15Downloads:Views:Abstract: Nil geometry is one of the eight geometries of Thurston's conjecture. In this paper we study in Nil 3-space and the Nil metric with respect to the standard coordinates (x,y,z) is gNil₃=(dx)²+(dy)²+(dz-xdy)² in IR³. In this paper, we find out the explicit parametric equation of a general helix. Further, we write the explicit equations Frenet vector ... Show More
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Issue: Volume 4, Issue 1-2, January 2015Pages: 14-18Received: 14 November 2014Accepted: 20 November 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.14Downloads:Views:Abstract: In this paper, semi-invariant submanifolds of a generalized Kenmotsu manifold endowed with a semi-symmetric non-metric connection are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be semi-invarinat submanifold with semi-symmetric non-metric connection. Morever, we studied the integrabi... Show More
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Connection Forms of an Orthonormal Frame Field in the Minkowski Space
Issue: Volume 4, Issue 1-2, January 2015Pages: 10-13Received: 13 October 2014Accepted: 10 November 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.13Downloads:Views:Abstract: In this work, connection formulas and forms of an orthonormal frame field in the Minkowski space were introduced and then the variation of connection forms was studied. In addition, the relation between the matrix of connection forms and the transition matrix of an orthonormal basis of tangent space were established, and an example was illustrated... Show More -
On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space
Issue: Volume 4, Issue 1-2, January 2015Pages: 6-9Received: 8 November 2014Accepted: 12 November 2014Published: 12 January 2015DOI: 10.11648/j.pamj.s.2015040102.12Downloads:Views:Abstract: In this paper, the involute and evolute of the curve is studied in type of the curve-surface pair at first time. In additional whenβ is considered evolute and involute of the curveα, involute and evolute curve-surface pairs (called as strip) and strip of the curveαis shown as(α,M) are given with depending on the constant angleφthat is between in an... Show More -
Terquem Theorem with the Spherical Helix Strip
Issue: Volume 4, Issue 1-2, January 2015Pages: 1-5Received: 23 October 2014Accepted: 25 October 2014Published: 11 January 2015DOI: 10.11648/j.pamj.s.2015040102.11Downloads:Views:Abstract: The spherical helix and the strip are respectively proved firstly by Scofield and Sabuncuoglu and Hacısalihoglu. In this paper helix strip on sphere is investigated by using characteristics of spherical helix and strip. Firstly using strip after helixand finally spherical helix. So spherical helix strips are obtained. Furhermore Joachimsthal Theor... Show More
