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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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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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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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International Journal of Metrology and Quality Engineering, 2023 The layout of measurement points is the key to the efficient inspection of free-form surfaces. Two algorithms are proposed for the layout of free-form surface measurement points: the free-form surface Gaussian curvature variation grid method and the ...
Zeng Linan, Chen Yueping
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Bianchi transformation of the pseudosphere
Дифференциальная геометрия многообразий фигур, 2023 The work is devoted to the study of the Bianchi transform for surfaces of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere (Beltrami surface).
M. A. Cheshkova
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On the geometry of Liouville foliations [PDF]
E3S Web of Conferences, 2023 The paper studies the geometry of Liouville foliation generated by integrable Hamiltonian system. It is shown that regular leaves are two-dimensional surface of zero Gaussian curvature and zero Gaussian torsion.
Narmanov Abdigappar, Ergashova Shohida
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Computational analysis of hygromorphic self-shaping wood gridshell structures [PDF]
Royal Society Open Science, 2020 Bi-layered composites capable of self-shaping are of increasing relevance to science and engineering. They can be made out of anisotropic materials that are responsive to changes in a state variable, e.g.
Philippe Grönquist +5 more
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