Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields by Matveev, Vladimir S., Nikolayevsky, Yuri

“…Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic flow is a polynomial in the linear integrals). …”
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Characterizations of Trivial Ricci Solitons by Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais

“…First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. …”
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Technology and equipment of roll straightening of sheet metal by V. A. Tamila, I. I. Vegera, V. V. Liaukovich, A. V. Vetoshkin

“…The parabolic dependence of the residual curvature on the yield strength is noted. The obtained data were used in the design of the roll straightening complex and the technology of straightening sheet blanks of complex configuration.…”
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Losses and orbital part of the Poynting vector of air-core modes in hollow-core fibers by G.K. Alagashev, S.S. Stafeev, A.D. Pryamikov

“…We then demonstrated the impact of the “negative” curvature of the core-cladding boundary of a hollow-core fiber on the behavior of the orbital part of the Poynting vector of the air-core modes.…”
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Providing a model of consumer behavior in creating brand attachment with an emphasis on the packaging component of food industry companies by maziar Ghasemzadeh Sangroudi, karim hamdi, SHADAN VAHABZADEH MUNSHI

“…It seems that the effect of sign and curvature on consumers' perception of superiority is more influenced by the texture and classification of the product. …”
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Robotic Pectoral Fin Thrust Vectoring Using Weighted Gait Combinations by John S. Palmisano, Jason D. Geder, Ravi Ramamurti, William C. Sandberg, Banahalli Ratna

“…A method was devised to vector propulsion of a robotic pectoral fin by means of actively controlling fin surface curvature. Separate flapping fin gaits were designed to maximize thrust for each of three different thrust vectors: forward, reverse, and lift. …”
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Film Cooling Effectiveness Data for Simple Injection Geometries: A Collection of Three-Axis Plots by L. D. Stone, R. J. Goldstein

“…By plotting data from several film cooling studies conducted at the University of Minnesota, the dominant roles played by density ratio, hole spacing, and surface curvature become apparent. It is also seen that a slot-plate prediction/correlation from two-dimensional film cooling studies makes an excellent standard of comparison for all film cooling studies, even though the more commonly encountered (two-axis) comparisons using standardized nondimensional parameters do not usually suggest this.…”
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Foliations by minimal surfaces and contact structures on certain closed 3-manifolds by Richard H. Escobales

“…Suppose that F admits a basic transverse volume form μ and mean curvature one-form κ which is horizontally closed. …”
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Strichartz estimates for geophysical fluid equations using Fourier restriction theory by Gentil, Corentin, Tabary, Côme

“…Moreover, when the fluid is stratified, our approach yields sharp estimates, showing that the slicing method captures all the available curvature of the surfaces of interest.…”
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Mechanism of Ultrasonic Guided Wave Excitation and Sensing in Pressure Vessel Structures Under Boundary Condition Effects by Napoleon Kuebutornye, Zipping Wang, Jiazhen Zhang, Dongwei Shang, Qingwei Xia

“…The two key mechanisms influencing GW propagation are stress-induced changes in material properties (acoustoelastic effect), which causes phase shifts, and geometric deformation (thickness and curvature variations), which impacts GW amplitude. …”
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A Review of Intraocular Pressure (IOP) and Axial Myopia by Dongyan Zhang, Liyin Wang, Le Jin, Yingying Wen, Xuhong Zhang, Liyue Zhang, Hong Zhu, Ziyu Wang, Xin Yu, Chen Xie, Jianping Tong, Ye Shen

“…Accommodation not only alters the curvature and shape of the lens but also involves contraction of the ciliary and extraocular muscles, which influences intraocular pressure (IOP). …”
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A finite element method for growth in biological development by Cornel M. Murea, H. G. E. Hentschel

“…We describe finite element simulations of limb growth based on Stokes flow models witha nonzero divergence representing growth due to nutrients in the early stages of limb bud development.We introduce a ''tissue pressure'' whose spatial derivatives yield the growth velocity in the limband our explicit time advancing algorithm for such tissue flows is described in detail.The limb boundary is approached by spline functions to compute the curvature andthe unit outward normal vector. At each time step, a mixed-hybrid finite element problem is solved,where the condition that the velocity is strictly normal to the limb boundary is treatedby a Lagrange multiplier technique. …”
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Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses by M. Vahidi, V. Jafari, M. H. Abyaneh, SH. Vahdani

“…The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation applied in state space, and higher-order displacement approximation utilized again in state space. …”
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A New Class of Contact Pseudo Framed Manifolds with Applications by K. L. Duggal

“…We also have established a link of CPF-hypersurfaces with curvature, affine, conformal collineations symmetries, and almost Ricci soliton manifolds, supported by three applications. …”
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Nonlinearity of Conductor Behavior in the Context of Loads on Transmission Towers by WANDZIK Grzegorz, KOWALCZYK Grzegorz

“…The discussion identifies the source of differences in the approaches and assesses the impact of two primary factors: the curvature of the relationship between load and tension force, and the initial prestressing of the cable, which results in the displacement of the graph relative to the origin of the coordinate system. …”
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A Novel Adaptive Probabilistic Nonlinear Denoising Approach for Enhancing PET Data Sinogram by Musa Alrefaya, Hichem Sahli

“…We propose filtering the PET sinograms with a constraint curvature motion diffusion. The edge-stopping function is computed in terms of edge probability under the assumption of contamination by Poisson noise. …”
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Investigation of Pseudo-Ricci Symmetric Spacetimes in Gray’s Subspaces by Sameh Shenawy, Uday Chand De, Nasser Bin Turki, Suliman Alsaeed, Abdallah Abdelhameed Syied

“…It is proved that PRSn spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I⊕A, and I⊕B, and have zero scalar curvature in subspace A⊕B. Finally, it is proved that pseudo-Ricci symmetric GRW spacetimes are vacuum, and as a consequence of this result, we address several corollaries.…”
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Nonlinear Seismic Response Analysis of Curved and Skewed Bridge System with Spherical Bearings by Junwon Seo, Daniel G. Linzell, Jong Wan Hu

“…Further, the bearing responses are different for the loading scenarios because of seismic effects caused by interactions between excitation direction and radius of curvature.…”
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Free torus actions and twisted suspensions by Fernando Galaz-García, Philipp Reiser

“…As a corollary, we obtain infinitely many manifolds with Riemannian metrics of positive Ricci curvature and isometric torus actions.…”
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Decoupling design and kinematic analysis of rope driven flexible wheelchair manipulators by WANG Lu, ZHAO Dongjie, ZHANG Weitao, WANG Yini, ZHANG Kun

“…The kinematic model of the flexible manipulator was established based on the constant curvature modeling method, and the kinematic analysis between the drive space, joint space, and operation space as well as the decoupling analysis between each flexible joint were carried out. …”
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