Bicubic ribbon surface by V. A. Korotkiy, E. A. Usmanova

“…Theorem 2 contains conditions for the continuity of curvature. Examples of calculation and visualization of C1 and C2- smooth ribbon surfaces, consisting of two or three bicubic portions, are presented.…”
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A Cone Bean Computer Tomography Investigation of the Newly Formed Mandibular Anterior Ridge following the Treatment of an Extended Comminuted Fracture: A 12-Year Follow-Up by Pascal Grün, Florian Pfaffeneder-Mantai, Patrick Bandura, Benedikt Schneider, Anna Sophia Bandura, Dritan Turhani

“…Reconstruction of the lost mandibular anterior ridge is very complex due to the natural curvature of the region. Case Presentation. In this case report, the combination of the modified shell technique with autologous bone plates and the guided bone regeneration (GBR) technique was performed on an 18-year-old patient after a comminuted fracture, to ensure new bone formation in the anterior ridge with a natural curvature. …”
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Trajectory Tracking for 3-Wheeled Independent Drive and Steering Mobile Robot Based on Dynamic Model Predictive Control by Chaobin Xu, Xingyu Zhou, Rupeng Chen, Bazhou Li, Wenhao He, Yang Li, Fangping Ye

“…During each control period, the prediction horizon is dynamically adjusted based on changes in trajectory curvature, establishing a functional relationship between trajectory curvature and prediction horizon. …”
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Evaluation of centering ability of XP endo shaper, Edge Evolve and Hyflex CM in simulated curved canals by Van B. Werdina, Ihsan N. Bahnam

“…Conclusions: The study demonstrated that Edge Evolve file maintained curvature significantly better than Hyflex CM and XP endo shaper files. …”
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Constant Strain Rate Uniaxial Compression of Green Sandstone during SHPB Tests Driven by Pendulum Hammer by S. H. Li, W. C. Zhu, L. L. Niu, F. Dai

“…Based on experiments and simulations, parameter effects, including the cambered hammer curvature radius and hammer diameter, length, and impact velocity, on the incident wave shape were examined. …”
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Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 by İlim Kişi, Sezgin Büyükkütük, Günay Öztürk

“…In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. …”
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The nonexistence of rank 4 IP tensors in signature (1,3) by Kelly Jeanne Pearson, Tan Zhang

“…We show that there exists no algebraic curvature tensor R on V so that its associated skew-symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2-planes in V.…”
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Inverse Problem for a Curved Quantum Guide by Laure Cardoulis, Michel Cristofol

“…We give uniqueness results for the inverse problem associated to the reconstruction of the curvature by using either observations of spectral data or a boot-strapping method.…”
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The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime by Igor Carneiro, Gero von Gersdorff

“…To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature.…”
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Classification results for polyharmonic helices in space forms by Branding, Volker

“…Moreover, we show that polyharmonic helices of arbitrary order with non-zero geodesic curvatures to space forms of negative curvature must be geodesics.…”
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The Integrability of a New Fractional Soliton Hierarchy and Its Application by Xiao-ming Zhu, Jian-bing Zhang

“…Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. They are a kind of special reductions of the famous AKNS system. …”
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On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation by Xuemei Li, Lutong Li

“…In this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. …”
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products by Ning Zhang

“…In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f-parabolic universal covering. …”
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Screen conformal half-lightlike submanifolds by K. L. Duggal, B. Sahin

“…We prove some results on symmetric induced Ricci tensor and null sectional curvature of this class.…”
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Characterization of Narrow Band UHF Radio Propagation Channels in Tunnel Environments by Zhang yaoping Zheng guoxin Zhang wenmei Sheng jianhuan

“…Propagation measurements taken in five tunnels at 900 and 1800 MHz for microcellular and personal communication are presented.The power distance factors to characterize propagation loss in straight empty tunnel section are given.The effects of pedestrians,vehicle,and curvature on propagation are also investigated.Furthermore,it is found that The log normal distribution basically fits the slow variation of the received signals.Whereas the Racian distribution closely models the fast fading in the straight empty sections of the tunnels,however,the Rayleigh distribution does not fit the fast fading in the curved section of the tunnels as well as expected.…”
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Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds by Falleh R. Al-Solamy, Meraj Ali Khan, Siraj Uddin

“…We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.…”
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The geometry of autonomous metrical multi-time Lagrange space of electrodynamics by Mircea Neagu

“…The Riemann-Lagrange geometry of the space EDMLpn=(J1(T,M),L), in the sense of d-connections, torsion and curvature d-tensors, allows the construction of a natural generalized multi-time field theory on EDMLPn, in the sense of generalized Maxwell and Einstein equations.…”
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Proximinality in geodesic spaces by A. Kaewcharoen, W. A. Kirk

“…Let X be a complete CAT(0) space with the geodesic extension property and Alexandrov curvature bounded below. It is shown that if C is a closed subset of X, then the set of points of X which have a unique nearest point in C is Gδ and of the second Baire category in X. …”
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Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators by Quanxiang Pan, Yajie Wang

“…In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. …”
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Planar Waves of the Buffered Bistable System by Xiaohuan Wang, Guangying Lv

“…We first show that the large time behavior of the disturbed fronts can be approximated by that of the mean curvature flow with a drift term for all large time up to t=+∞. …”
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