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From:Scientia Magna (Vol. 4, Issue 1) Peer-ReviewedIn this work, notion of slant helix concept in [6] is extented to the space [E.sup.4]. With an analogous way, we define 3--type slant helices whose trinormal lines make a constant angle with a fixed direction in...
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From:Canadian Journal of Physics (Vol. 98, Issue 12) Peer-ReviewedA pressure-driven viscous flow through groovy curved channels of small width compared to the groove wavelength is studied. The Reynolds number is assumed to be very small, such that the flow is dominated by the viscous...
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From:Mathematics and Mechanics of Solids (Vol. 10, Issue 1) Peer-Reviewed
Numerical solution procedures for nonlinear elastic curved rods using the theory of a Cosserat point
Abstract: The numerical solution of problems of curved rods can be formulated using rod elements developed within the context of the theory of a Cosserat point. Although the general theory is valid for curved rods, the... -
From:Differential Equations and Nonlinear MechanicsPeer-ReviewedA new approach for demonstrating the global stability of ordinary differential equations is given. It is shown that if the curvature of solutions is bounded on some set, then any nonconstant orbits that remain in the...
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From:International Journal of Differential EquationsPeer-ReviewedWe study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem...
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From:Bulletin of the Belgian Mathematical Society - Simon Stevin (Vol. 18, Issue 2) Peer-ReviewedRiemannian geometry on the space of (continuous) paths in a manifold M has been studied by Cruzeiro and Malliavin. I will use concepts in path space analysis to define a Levi-Civita connection on free loop space, using...
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From:Mathematical Problems in EngineeringPeer-ReviewedWe study tubular surfaces in Euclidean 3-space satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature, and the second mean curvature. This paper is a completion...
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From:Journal of Applied and Engineering Mathematics (Vol. 6, Issue 1) Peer-ReviewedAbstract. In this paper, we discuss some examples of two dimensional spaces of constant curvature and their Riemannian extensions. Keywords: Riemannian curvature, Riemann extension, flat metric, geodesic equations,...
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From:Scientia Magna (Vol. 6, Issue 3) Peer-ReviewedIn this paper, we studied the tubular W-surfaces that satisfy a Weingarten condition of type [ak.sub.1] + [bk.sub.2] = c, where a, b and c are constants and [k.sub.1] and [k.sub.2] denote the principal curvatures of M...
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From:Construction and Building Materials (Vol. 22, Issue 3) Peer-ReviewedAbstract This paper investigates an applicability of long-gauge fiber optic sensors to prestressed concrete structures. A main motivation is to monitor the deflection of railway bridges without intervenes of the...
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From:Bulletin of the Belgian Mathematical Society - Simon Stevin (Vol. 23, Issue 3) Peer-ReviewedLet the Riemannian metric of a three-dimensional Kenmotsu manifold be a Yamabe soliton. In this paper, we prove that the Kenmotsu manifold is of constant sectional curvature -1 and the Yamabe soliton is expanding with...
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From:Journal of Applied and Engineering Mathematics (Vol. 7, Issue 2) Peer-ReviewedThe work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric properties. First, we observe that m-projectively flat...
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From:Journal of Applied and Engineering Mathematics (Vol. 9, Issue 1 SI) Peer-ReviewedIn the present paper, we consider the factorable surfaces in Euclidean 4-space [E.sup.4]. We characterize such surfaces in terms of their Gaussian curvature, Gaussian torsion and mean curvature. Further, we classify...
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From:Tamsui Oxford Journal of Mathematical Sciences (Vol. 25, Issue 1) Peer-ReviewedWe obtain the results on vanishing of divergence of Conformal and Quasi conformal curvature tensors with respect to semi-symmetric metric connection on K-contact manifold. Keywords and Phrases: K-contact manifold,...
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From:Advances in Mathematical PhysicsPeer-ReviewedWe characterize the spacelike slices of a Lorentzian warped product as the only constant mean curvature space-like surfaces under suitable geometrical and physical assumptions. As a consequence of our study, we derive a...
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From:Mathematical Problems in EngineeringPeer-ReviewedComplex and highly detailed polygon meshes have been adopted for model representation in many areas of computer graphics. Existing works mainly focused on the quadric error metric based complex models approximation,...
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From:PLoS ONE (Vol. 14, Issue 1) Peer-ReviewedIn this study, we investigate the feasibility of improving the imaging quality for low-dose multislice helical computed tomography (CT) via iterative reconstruction with tensor framelet (TF) regularization. TF based...
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From:Advances in Mathematical Physics (Vol. 2018) Peer-ReviewedWe construct metric connection associated with a first-order differential equation by means of the generator set of a Pfaffian system on a submanifold of an appropriate first-order jet bundle. We firstly show that the...
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From:Nature (Vol. 468, Issue 7326) Peer-ReviewedHexagons can easily tile a flat surface, but not a curved one. Introducing heptagons and pentagons (defects with topological charge) makes it easier to tile curved surfaces; for example, soccer balls based on the...
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From:Libertas Mathematica (Vol. 37, Issue 2) Peer-ReviewedThe aim of our paper is to introduce the Golden warped product Riemannian manifold and study its properties with a special view towards its curvature. We obtain a characterization of the Golden structure on the product...