Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity by Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied, Nasser Bin Turki

“…Next, we illustrate that a conformally flat  PPSn spacetime is of constant curvature. Finally, we investigate conformally flat  PPS4 spacetimes and conformally flat  PPS4 perfect fluids in fR,G theory of gravity, and amongst many results, it is proved that the isotropic pressure and the energy density of conformally flat perfect fluid  PPS4 spacetimes are constants and such perfect fluid behaves like a cosmological constant. …”
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About the ‘Cape’. Considerations on Geometries of the Maurizio Sacripanti’s Osaka Pavilion Roof by Lorena Greco, Maria Laura Rossi, Marta Salvatore

“… This study focuses on the interpretation of the shape of double curvature surfaces, which characterize the morphology of unrealized architectural projects, particularly interesting from the point of view of shape. …”
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Proximal Hypospadias by Kate H. Kraft, Aseem R. Shukla, Douglas A. Canning

“…The spectrum of abnormalities may also include ventral curvature of the penis, a dorsally redundant prepuce, and atrophic corpus spongiosum. …”
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Peyronie's Disease: Evolving Surgical Management and the Role of Phosphodiesterase 5 Inhibitors by Tariq F. Al-Shaiji, Gerald B. Brock

“…It is characterized by different degrees of penile curvature and sexual dysfunction. Several medical treatments have been employed to manage the disorder, with variable success rates. …”
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Convexity and Monotonicity Preservation of Ternary 4-Point Approximating Subdivision Scheme by Ghazala Akram, M. Atta Ullah Khan, R. U. Gobithaasan, Maasoomah Sadaf, Muhammad Abbas

“…To show the graphical simulations of results, 2D graphs are plotted. Curvature plots are also drawn to fully comprehend the derived conditions. …”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations by Z. Ok Bayrakdar, T. Bayrakdar

“…We firstly show that the inviscid and viscous Burgers’ equations describe surfaces attached to an ODE of the form dx/dt=u(t,x) with certain Gaussian curvatures. In the case of PDEs, we show that the scalar curvature of a three-dimensional manifold encoding a system of first-order PDEs is determined in terms of the integrability condition and the Gaussian curvatures of the surfaces corresponding to the integral curves of the vector fields which are annihilated by the contact form. …”
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Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine by Faizuddin Ahmed

“…The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. …”
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Bilateral Circumscribed Posterior Keratoconus: Visualization by Ultrasound Biomicroscopy and Slit-Scanning Topography Analysis by Robert Rejdak, Katarzyna Nowomiejska, Dariusz Haszcz, Anselm G. M. Jünemann

“…The amount of localized posterior depression, corneal thickness and the refractive power of both the posterior and anterior corneal curvature were measured using slit-scanning topography analysis (Orbscan).…”
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Predicting the Degree of Coronary Artery Stenosis Through Retinal Vascular Characteristics and Minimal Clinical Information by Zhang G, Ding Y, Ma T, Zhou S, Wang B, Chang X, Zeng Y

“…Fundus images were obtained via non-dilated fundus photography, and retinal arteriovenous diameters, arteriovenous ratios, curvatures, and dimensions were subsequently measured automatically using a computer program.Results: Pearson’s correlation coefficients between the Gensini Score and fundus vascular characteristics were found to be as follows: The diameters of the superior temporal artery (− 0.08), The diameters of the superior temporal vein (− 0.03), the arteriovenous diameter ratio (− 0.10), the retinal arterial dimension (− 0.09), the retinal vein dimension (− 0.06), the retinal arterial curvature (− 0.06), the retinal vein curvature (− 0.01). …”
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Motion Trajectory Planning and Design of Material Spraying Service Robot by Gang Wang, Hongyuan Wen, Jun Feng, Jun Zhou

“…The experimental results in this paper show that when the spraying radii on the large-curvature cone surface are 44.5 and 49.5 mm, respectively, the coating distribution in the intersection area of the curved surfaces can be well controlled, and the optimized algorithm can better plan the path of the spraying robot.…”
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An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation by Chaeyoung Lee, Jintae Park, Soobin Kwak, Sangkwon Kim, Yongho Choi, Seokjun Ham, Junseok Kim

“…The mathematical equation is a building block for modelling many interesting interfacial phenomena such as dendritic crystal growth, multiphase fluid flows, and motion by mean curvature. The proposed adaptive time-stepping algorithm is based on the Runge–Kutta–Fehlberg method, where the local truncation error is estimated by using fourth- and fifth-order numerical schemes. …”
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Auxiliary field deformations of (semi-)symmetric space sigma models by Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli

“…We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection.…”
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The Quantization of a Kerr-AdS Black Hole by Claus Gerhardt

“…We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by ρ=r2 such that the extended space-time has a timelike curvature singularity in ρ=-a2.…”
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Skeletal deformities in Barbus xanthos (Teleostei: Cyprinidae) collected from the Dalaman River in southwestern Turkey by Jawad Laith, Güçlü Salim Serkan

“…In this study, skeletal anomalies such as vertebral centra deformation, lordosis (ventral curvature), and consecutive repetition of lordosis and kyphosis were examined in specimens of Barbus xanthos (Güçlü, Kalaycı, Küçük & Turan, 2020) collected from the Dalaman River, southwestern Turkey. …”
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Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry by Hyun Seok Yang, Sangheon Yun

“…Via the gauge theory formulation of six-dimensional Riemannian manifolds, we show that the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian Yang-Mills equations on the Calabi-Yau manifold. …”
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Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework by Yuan Kong, Xing-Chen Liu, Huan-He Dong, Ming-Shuo Liu, Chun-Ming Wei, Xiao-Qian Huang, Yong Fang

“…In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax equation and zero curvature equation by using the AKNS method, which can be reduced to the classical and discrete KdV equation by considering different time scales. …”
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A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity by S. Shateyi, G. T. Marewo

“…The skin friction as well as the heat transfer rate at the surface are increased as the values of the curvature parameter increase.…”
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Étude des $(n+1)$-tissus de courbes en dimension $n$ by Dufour, Jean-Paul, Lehmann, Daniel

“…For $(n+1)$-webs by curves in an ambiant $n$-dimensional manifold, we first define a generalization of the well known Blaschke curvature of the dimension two, which vanishes iff the web has the maximum possible rank which is one. …”
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Unveiling new phases of the Standard Model Higgs potential by Florian Goertz, Álvaro Pastor-Gutiérrez

“…We study the Standard Model physical trajectory accounting for the Higgs curvature mass with the mass-dependent functional renormalisation group. …”
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