Results 1 to 10 of about 28,609 (295)
On Gaussian curvature and membrane fission [PDF]
Scientific Reports, 2021 We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian
Mara Denisse Rueda-Contreras +4 more
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Gaussian Curvature Effects on Graphene Quantum Dots [PDF]
Nanomaterials, 2022 In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the material.
Sergio de-la-Huerta-Sainz +2 more
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Discrete Gaussian Curvature Flow for Piecewise Constant Gaussian Curvature Surface [PDF]
CAD Computer Aided Design, 2021 Abstract A method is presented for generating a discrete piecewise constant Gaussian curvature (CGC) surface. An energy functional is first formulated so that its stationary point is the linear Weingarten (LW) surface, which has a property such that the weighted sum of mean and Gaussian curvatures is constant.
Kazuki Hayashi +2 more
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Discrete schemes for Gaussian curvature and their convergence
Computers and Mathematics With Applications, 2009 In this paper, several discrete schemes for Gaussian curvature are surveyed. The convergence property of a modified discrete scheme for the Gaussian curvature is considered. Furthermore, a new discrete scheme for Gaussian curvature is resented. We prove that the new scheme converges at the regular vertex with valence not less than 5.
Zhiqiang Xu, Guoliang Xu
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Prescribing Gaussian and Geodesic Curvature on Disks [PDF]
Advanced Nonlinear Studies, 2018 In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric.
Cruz-Blázquez Sergio, Ruiz David
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Gaussian curvature dilutes the nuclear lamina, favoring nuclear rupture, especially at high strain rate [PDF]
Nucleus, 2022 Nuclear rupture has long been associated with deficits or defects in lamins, with recent results also indicating a role for actomyosin stress, but key physical determinants of rupture remain unclear.
Charlotte R. Pfeifer +8 more
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Gaussian Curvature Entropy for Curved Surface Shape Generation [PDF]
Entropy, 2020 The overall shape features that emerge from combinations of shape elements, such as “complexity” and “order”, are important in designing shapes of industrial products.
Akihiro Okano +2 more
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Capillary-bridge–derived particles with negative Gaussian curvature [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2015 Limin Wang, Thomas J Mccarthy
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Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
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Gaussian Curvature and Gyroscopes [PDF]
Communications on Pure and Applied Mathematics, 2017 We relate Gaussian curvature to the gyroscopic force, thus giving a mechanical interpretation of the former and a geometrical interpretation of the latter. We do so by considering the motion of a spinning disk constrained to be tangent to a curved surface.
Cox, Graham, Levi, Mark
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