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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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Shape programming lines of concentrated Gaussian curvature [PDF]
Journal of Applied Physics, 2021 Liquid crystal elastomers (LCEs) can undergo large reversible contractions along their nematic director upon heating or illumination. A spatially patterned director within a flat LCE sheet, thus, encodes a pattern of contraction on heating, which can morph the sheet into a curved shell, akin to how a pattern of growth sculpts a developing organism ...
Daniel Duffy +9 more
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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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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.
Graham Cox, Mark Levi
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SARS-CoV-2 peptide fragments selectively dysregulate specific immune cell populations via Gaussian curvature targeting. [PDF]
Proc Natl Acad Sci U S AZhang Y +34 more
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Buffon's Problem determines Gaussian Curvature in three Geometries [PDF]
Journal of Applied Probability, 2020 AbstractA version of the classical Buffon problem in the plane naturally extends to the setting of any Riemannian surface with constant Gaussian curvature. The Buffon probability determines a Buffon deficit. The relationship between Gaussian curvature and the Buffon deficit is similar to the relationship that the Bertrand–Diguet–Puiseux theorem ...
Aizelle Abelgas +4 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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Affine Translation Surfaces with Constant Gaussian Curvature
Kyungpook mathematical journal, 2010 Summary: We study affine translation surfaces in \(\mathbb R^3\) and get a complete classification of such surfaces with constant Gauss-Kronecker curvature.
Yu Fu, Zhonghua Hou
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