Results 41 to 50 of about 191,077 (277)
Prescribing Gaussian curvature on S2
Acta Mathematica, 1987 On the standard two sphere S 2 the Gaussian curvature after a conformal change ds \(2=e^{2u}ds\) \(2_ 0\) is determined by the following equation: \[ (1.1)\quad \Delta u+Ke^{2u}=1\quad on\quad S^ 2 \] where \(\Delta\) denotes the Laplacian relative to the standard metric. The question raised by L.
Chang, Sun-yung Alice, Yang, Paul C.
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On Total Shear Curvature of Surfaces in E^{n+2}
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
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Developable Surfaces Foliated by General Ellipses in Euclidean Space R3
Mathematics, 2023 In this article, we classify the developable surfaces in three-dimensional Euclidean space R3 that are foliated by general ellipses. We show that the surface has constant Gaussian curvature (CGC) and is foliated by general ellipses if and only if the ...
Ahmad T. Ali
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Non-Gaussian curvature distribution of actin-propelled biomimetric colloid trajectories [PDF]
We analyze the motion of colloids propelled by a comet-like tail of polymerizing actin filaments. The curvature of the particle trajectories deviates strongly from a Gaussian distribution, implying that the underlying microscopic processes are ...
Biesheuvel, P.M. +5 more
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, 2012 We study the shapes of pored membranes within the framework of the Helfrich theory under the constraints of fixed area and pore size. We show that the mean curvature term leads to a budding- like structure, while the Gaussian curvature term tends to ...
de la Cruz, Monica Olvera +3 more
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Equi-Gaussian curvature folding
Proceedings Mathematical Sciences, 2007 In this paper the authors introduce the notion of equi-Gaussian curvature folding and consider some elementary properties of it.
El-Kholy, E. M. +2 more
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A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017 In this paper, we give a new parametrization of A- net surface which generated by first principle direction curve Euclidean 3- space . Then, we obtain mean curvature and Gaussian curvature of this surface.
Talat KÖRPINAR, Gülden ALTAY SUROĞLU
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Frustrated order on extrinsic geometries
, 2011 We study, analytically and theoretically, defects in a nematically-ordered surface that couple to the extrinsic geometry of a surface. Though the intrinsic geometry tends to confine topological defects to regions of large Gaussian curvature, extrinsic ...
Grason, Gregory M. +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu +11 more
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Totally real surfaces in CP2 with parallel mean curvature vector
International Journal of Mathematics and Mathematical Sciences, 1992 It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.
M. A. Al-Gwaiz, Sharief Deshmukh
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