Submanifolds of Euclidean space with parallel mean curvature vector by Tahsin Ghazal, Sharief Deshmukh

“…First we prove that there does not exist an n-dimensional compact simply connected totally real submanifold in R2n whose mean curvature vector is parallel. Then we show that the n-dimensional compact totally real submanifolds of constant curvature and parallel mean curvature in R2n are flat. …”
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Research of the Linkage Point Trajectory Curvature and Design of the Related Mechanism by Wang Yundi, Wang Shuai, Wang Liangwen, Zhang Hao

Subjects: “…Linkage point trajectory curvature…”
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Critical Phenomena in Higher Curvature Charged AdS Black Holes by Arindam Lala

“…In this paper, we have studied the critical phenomena in higher curvature charged AdS black holes. We have considered Lovelock-Born-Infeld-AdS black hole as an example. …”
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Substrate curvature influences cytoskeletal rearrangement and modulates macrophage phenotype by Austin Sovar, Matthew D. Patrick, Ramkumar T. Annamalai

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A remark on the metric dimension in Riemannian manifolds of constant curvature by Shiva Heidarkhani Gilani, Reza Mirzaie, Ebrahim Vatandoost

“…We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G=(V,E)$ embedded in a Riemannian manifold of constant curvature resolves a totally geodesic submanifold of dimension $|V|-1$.…”
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Effect of Curvature-Dependent Surface Elasticity on the Flexural Properties of Nanowire by Mengjun Wu, Quan Yuan, Honglin Li, Bin Wu, Lin Fang, Mengyang Huang

“…., to capture the influence of surface curvature on the flexural rigidity of nanowire with rectangular cross section. …”
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Detecting phase transitions in collective behavior using manifold's curvature by Kelum Gajamannage, Erik M. Bollt

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Non-linear equation of motion for higher curvature semiclassical gravity by Naman Kumar

Subjects: “…Higher curvature gravity…”
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Spontaneous curvature in two-dimensional van der Waals heterostructures by Yuxiang Gao, Fenglin Deng, Ri He, Zhicheng Zhong

“…In this paper, we predict that 2D interfaces undergo “spontaneous curvature”, which means when two flat 2D layers approach each other, they inevitably experience out-of-plane curvature. …”
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Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms by Rongsheng Ma, Donghe Pei

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Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature by Yawei Chu, Dehe Li, Jundong Zhou

“…In this paper, we study the rigidity of Mn,g,f with pointwise pinching curvature and obtain some rigidity results. In particular, we prove that every n-dimensional gradient shrinking Ricci soliton Mn,g,f is isometric to ℝn or a finite quotient of Sn under some pointwise pinching curvature condition. …”
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Construct α′ corrected or loop corrected solutions without curvature singularities by Peng Wang, Houwen Wu, Haitang Yang, Shuxuan Ying

“…Abstract For the bosonic gravi-dilaton system, we provide systematical approaches to construct non-perturbative string cosmological solutions without curvature singularities, which can match the perturbative solution to any order in α′ expansion. …”
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A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients by Cecilia De Zan, Pierpaolo Soravia

“…We 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 whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.…”
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Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays by Shiping Lu, Ming Lu

“…We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. …”
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The Quick Measure of a Nurbs Surface Curvature for Accurate Triangular Meshing by Kniat Aleksander

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Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion by Oleksandr V. Pylypovskyi, Enrico Di Benedetto, Carmine Ortix, Denys Makarov

“…A constant torsion along the chain results in alternating regions of high and low curvature, facilitating the spin spiral state perturbed by the (anti)periodic boundary conditions on the magnetic order parameter. …”
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EFFECTS OF CURVATURE OF LOADING SURFACE ON MECHANICAL PROPERTIES OF PIEZOMAGNETIC MATERIAL SHEETS by YIN YiHui, WU JuYing, WANG FuYi, GAO Yang

Subjects: “…Contact surface curvature…”
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Improvement of Curvature Change Rate (Parameter) in Two-Line Rural Roads by Lina Bertulienė, Romas Girdvainis, Lina Juknevičiūtė-Žilinskienė, Vilimas Gintalas

Subjects: “…curvature change rate of road alignment…”
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Newton Linearization of the Curvature Operator in Structured Grid Generation with Sample Solutions by Pat Piperni, Maahi M. Talukder

“…This new operator retains the strong smoothing properties of the Laplacian without the latter’s adverse curvature effects. However, the new operator exhibits slower convergence properties than the Laplacian, which can lead to increased turnaround times and in some cases preclude the achievement of convergence to machine accuracy. …”
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Influence of the Curvature Radius on Contact Characteristic of Deep Groove Ball Bearing by Zhong Conghua

Subjects: “…Curvature radius…”
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