CR-submanifolds of a locally conformal Kaehler space form by M. Hasan Shahid

“…We have also discussed Ricci curvature as well as scalar curvature of CR-submanifolds of M¯(c).…”
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Fatigue Fracture Analysis of Elevator Reducer Output Shaft by Yang Li, Rui Zhiyuan, Luo Dechun, Cao Hui, Hu Xuchun, Lu Shihui

“…The fatigue analysis of keyway with different curvature radius carried out by using the finite element method（ FEM）,and comparing with the theoretical result,it is concluded that the reason of fracture is higher notch effect of low curvature radius on the keyway. …”
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Noether Symmetries of the Area-Minimizing Lagrangian by Adnan Aslam, Asghar Qadir

“…It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n). Furthermore, if the space has one section of constant curvature of dimension n1, another of n2, and so on to nk and one of zero curvature of dimension m, with n≥∑j=1knj+m (as some of the sections may have no symmetry), then the Lie algebra of Noether symmetries is ⊕j=1kso(nj+1)⊕(so(m)⊕sℝm).…”
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Injectable agents for the induction of Peyronie’s disease in model rats: a comparative study by Guang-Jun Du, Si-Yan Xing, Ning Wu, Tong Wang, Yue-Hui Jiang, Tao Song, Bai-Bing Yang, Yu-Tian Dai

“…The POL + TGF-β1 combination produced pathological changes and curvature comparable to STS + TGF-β1 and led to fewer complications. …”
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Symmetric single-input eccentric tube robot (ETR) for manual use by Mayer Juliane, Dumancic Marcel, Pott Peter P.

“…Instrument curvature is controlled by a single input angle. This study aims to demonstrate the suitability as manually actuated instrument. …”
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Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and $${{\mathcal {CPT}}}$$ CPT symmetry by Ikram Imane Kouachi, Özlem Yeşiltaş

“…Abstract We analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms of Landau level quantization and the quantum Hall effect. …”
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The Feasibility of Using Laser Doppler Vibrometer Measurements from a Passing Vehicle for Bridge Damage Detection by Abdollah Malekjafarian, Daniel Martinez, Eugene J. OBrien

“…It is shown that Instantaneous Curvature (IC) at a moving reference, which is the curvature of the bridge at an instant in time, is sensitive to local damage. …”
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Qualitative Behaviour of Solutions in Two Models of Thin Liquid Films by Matthew Michal, Marina Chugunova, Roman Taranets

“…For the thin-film model of a viscous flow which originates from lubrication approximation and has a full nonlinear curvature term, we prove existence of nonnegative weak solutions. …”
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Optimization of Zoom Lens with Discrete State of Liquid Lens Elements by Using Genetic Algorithm by Cheng-Mu Tsai

“…The liquid lens elements used in the proposal can apply voltage adjustment to generate the electrical field that induces the liquid with electric conductivity to vary the surface curvature between two different kinds of liquids. According to the voltage level, the liquid lens element makes the discrete variation of the curvature and thickness realize the zoom function without moving the lens groups so that the overall length can be reduced. …”
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A New Rule-Based Classification Method Using Shape-Based Properties of Spectral Curves by Songuel Polat, Alain Tremeau, Frank Boochs

“…., SVM, KNN), not only are reflectance values taken into account, but also parameters such as curvature points, curvature values, and the curvature behavior of spectral signatures are used to develop shape-describing rules in order to use them for classification by a rule-based procedure with IF-THEN queries. …”
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Pressure tuning of intrinsic and extrinsic sources to the anomalous Hall effect in CrGeTe_{3} by Gili Scharf, Daniel Guterding, Bar Hen, Paul M. Sarte, Brenden R. Ortiz, Gregory Kh. Rozenberg, Tobias Holder, Stephen D. Wilson, Harald O. Jeschke, Alon Ron

“…The integrated Berry curvature is a geometric property that has dramatic implications for material properties. …”
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Symmergent Gravity, Seesawic New Physics, and Their Experimental Signatures by Durmuş Demir

“…In search for a remedy, in this work, it is revealed that affine curvature can emerge in a way restoring gauge symmetries explicitly broken by the UV cutoff. …”
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Assessing Human Role in Lateral Erosion and Lateral Extension of Gamasiab River in Bistoon Plain by Mahmoud Alaee Taleghani, Farshad Haseli, Majid Ahmadi Molaverdi

“…In fact, the curvature coefficient of 15 meanders with human interference, have increased from 1.51 in 1986 to 1.7 in 2010, whereas the curvature coefficient of another 19 meanders have increased from 1.22 in 1986 to 1.28 in 2010.…”
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Entropy optimization of stagnant blood flow systems with tetra-hybrid nano additives under viscous dissipation, joule heating and thermal radiation effects by Meena Rajeswari P, Poulomi De

“…Numerical results in surface drag force and thermal transmission rate for unsteadiness parameter and curvature parameter are investigated. Improvement of curvature parameter enriches the blood flow's velocity and reduces the pressure distribution. …”
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Finite cut-off JT and Liouville quantum gravities on the disk at one loop by Soumyadeep Chaudhuri, Frank Ferrari

“…In the negative curvature case, we also provide evidence for the emergence of an effective Schwarzian description at length scales much greater than the curvature length scale.…”
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Influence of Assembly Errors and Tooth Surface Modification on Transmission Errors of Curvilinear Cylindrical Gears by Zhang Xuegang, Xie Yongchun, Wang Pengfei

“…In summary, the use of a larger curvature radius of the cutter can be used to machine curvilinear cylindrical gears with better transmission performance.…”
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Improved S-bend optical waveguide loss formula verified by experiments by Ary Syahriar

“…Abstract Curvature of a dielectric waveguide always leads to attenuation of the mode power as it propagates through the curved region. …”
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EXPERIMENTAL STUDY ON THE INFLUENCE OF BLUNTING CRACK TIP ON MECHANICAL PROPERTIES OF CT SPECIMENS by ZHANG ZhuWu, XU ChengWei, LI Wei, GUO LiPing, PAN GuangGuo

“…With the increasing of the curvature radius of the crack tip,there is an optimal blunt crack curvature radius. …”
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Genetic and neurochemical profiles underlying cortical morphometric vulnerability to Parkinson’s disease by Su Yan, Jun Lu, Bingfang Duan, Hongquan Zhu, Tian Tian, Yuanyuan Qin, Yuanhao Li, Wenzhen Zhu

“…Results: We found decreased gray matter properties in temporal, somatomotor, cingulate and occipital cortices, decreased curvature measures in occipital, temporal and orbitofrontal cortices, and increased curvature measures in somatomotor, prefrontal and posterior parietal cortices for PD patients. …”
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Optimization and Contrast Analysis of Different Crown Profile for Crown Gear Coupling by Zhao Shiyin, Yao Yuan, Li Yeming

“…The results show that when the mid-point curvature radius of each crowning curve change respectively in the range of 50 90 mm and 90 130 mm,the corresponding maximum allowable inter-axis angle decreases by 0. 2° and 0. 1° for every 20 mm increase of curvature radius,the three-section arc curve allows the largest inter-axial angle and the smallest axial displacement at the corresponding maximum allowable inter-axis angle. …”
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