A Class of Weingarten Surfaces in Euclidean 3-Space by Yu Fu, Lan Li

“…., 2012) by the equation A(grad H)=-H grad H for the mean curvature function H and the Weingarten operator A. …”
Get full text

Biharmonic Maps and Laguerre Minimal Surfaces by Yusuf Abu Muhanna, Rosihan M. Ali

“…Estimates of the Gaussian curvature to the Laguerre minimal surface are obtained, and several illustrative examples are given.…”
Get full text

A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure by Yuqin Yao, Shoufeng Shen, Wen-Xiu Ma

“…Associated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.…”
Get full text

CIVA Confirmation of the effect of Wedge Gap on Amplitude by Edward Ginzel, Robert Ginzel

“…Simulations of gap are made for wear-pin adjustment and for small gaps that can occur when a wedge contoured for curvature on a cylinder of one diameter is used on a cylinder that is slightly larger in diameter. …”
Get full text

A boundary value problem in the hyperbolic space by P. Amster, G. Keilhauer, M. C. Mariani

“…We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. …”
Get full text

RESEARCH ON STRAIGHTENING METHOD OF STEPPED PIPE by GAO Feng, ZHOU ZeWei, WANG Long, GUO ZhengLu, LI Yan

“…The three-point bending pressure straightening method is employed to deal with the problem of single curvature bent stepped pipe. Based on the theory of elastoplastic mechanics the analysis of deformation process for the stepped pipe with bilinear strengthening elastoplastic material is performed,in which the effect of stress concentration at the changed cross-section place is considered. …”
Get full text

Willmore-Like Tori in Killing Submersions by Manuel Barros, Óscar J. Garay, Álvaro Pámpano

“…A connection with generalized elastica in the base surface of the Killing submersion is found, which is exploited to analyze Willmore tori in Killing submersions and to construct foliations of Killing submersions made up of Willmore tori with constant mean curvature.…”
Get full text

Anomaly induced inflation in the minimal quartic extension of Einstein’s gravity by Kerim Demirel, Bayram Tekin

“…Abstract A particular extension of Einstein’s General Relativity up to and including quartic terms in the curvature tensor is minimal in the sense that it has a unique maximally symmetric vacuum and only a massless spin-2 excitation in its spectrum around the vacuum. …”
Get full text

Weyl-Euler-Lagrange Equations of Motion on Flat Manifold by Zeki Kasap

“…It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances. …”
Get full text

Efficient Discrete Interpolation Algorithm and Module Development of Cycloid Gear Profile by Yao Yuchao, Wang Qiliang, Chang Anquan, Jiang Zhongqiu

“…In view of the cycloid gear profile,an efficient discrete interpolation algorithm whose rotation angle intervals are auto adjusted by the curvature and errors are calculated by the numerical method is proposed. …”
Get full text

Phase Transitions of the BTZ Black Hole in New Massive Gravity by Yun Soo Myung

“…For m2l2>1/2 with m2 being the mass parameter of fourth-order terms and l2 AdS3 curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. …”
Get full text

The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds by Amir Shahnavaz, Nader Kouhestani, Seyed Mehdi Kazemi Torbaghan

“…Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate the Morse index for measuring the degree of instability of some particular α-harmonic maps. …”
Get full text

Dimethomorph induces heart and vascular developmental defects by disrupting thyroid hormone in zebrafish embryos by You Wei, Yunlong Meng, Kun Jia, Weijian Lu, Yushan Huang, Huiqiang Lu

“…The results showed a concentration-dependent decrease in survival rate and hatching rate, shortened body length, slowed heart rate, and pericardial edema, body curvature and reduced eye size as DMT exposure concentration increased. …”
Get full text

Infernal instabilities in negative-triangularity plasmas with negative central shear by X.M. Zhang, L. Li, Y.Q. Liu, Z.Y. Dong, J.W. Li, Y. Liang, F.C. Zhong

“…This is mainly due to less favorable (or even unfavorable) average magnetic curvature near the radial location of the minimum safety factor ( ${q_{{\text{min}}}}$ ) as compared to the pos-D configuration. …”
Get full text

Electron Acceleration by Multiple Fast Fermi Reflections at Earth’s Bow Shock by Y. Y. Liu, J. B. Cao, C. M. Liu, Y. T. Song, D. K. Hu

“…Meanwhile, the magnetic field exhibits no variations except an increase in radius of curvature. Based on the results above, we uncover the underlying acceleration scenario. …”
Get full text

A Case of Mucosal Cancer of the Stomach Treated by Endoscopic Submucosal Dissection after Which Nodal Metastasis Became Evident by Takashi Obana, Naotaka Fujita, Yutaka Noda, Dai Hirasawa, Kei Ito, Toshiki Sugawara, Yoshihiro Harada, Tetsuya Oohira, Hiroshi Honda, Takashi Sawai

“…Esophagogastroduodenoscopy (EGD) showed a small protruding lesion and a large superficial elevated lesion on the lesser curvature of the stomach (macroscopic type: 0-I and 0-IIa, resp.). …”
Get full text

Dissecting the biophysical mechanisms of oleate hydratase association with membranes by William A. Lathram, Robert J. Neff, Ashley N. Zalla, James D. Brien, Vivekanandan Subramanian, Christopher D. Radka

“…Using fluorescence correlation spectroscopy (FCS), we examined the effects of membrane curvature and lipid availability on OhyA binding to phosphatidylglycerol unilamellar vesicles. …”
Get full text

Meridional Considerations of the Centrifugal Compressor Development by C. Xu, R. S. Amano

“…Proper meridional profiles can improve the compressor efficiency and increase the overall pressure ratio at the same blade back curvature.…”
Get full text

Controlled Roof Collapse during Secondary Mining in Coal Mines by Ashleigh Hutchinson

“…We consider the range of values of 𝐵 before the displacement and curvature first become singular at 𝐵=𝐵1. The model predicts that for all practical purposes, the beam will break at the clamped end at the pillar. …”
Get full text

Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms by Yanlin Li, Ali H. Alkhaldi, Akram Ali

“…Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.…”
Get full text