Results 61 to 70 of about 938,544 (352)
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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European Physical Journal C: Particles and Fields, 2023 The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it
Zhu Yi, Qin Fei
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Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$
Universal Journal of Mathematics and Applications, 2023 In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
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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
openaire +2 more sources
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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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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Gaussian curvature directs the distribution of spontaneous curvature on bilayer membrane necks [PDF]
bioRxiv, 2017 Formation of membrane necks is crucial for fission and fusion in lipid bilayers. In this work, we seek to answer the following fundamental question: what is the relationship between protein-induced spontaneous mean curvature and the Gaussian curvature at
M. Chabanon, P. Rangamani
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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
wiley +1 more source
Behavior of the Gaussian curvature of timelike minimal surfaces with singularities [PDF]
Hokkaido Mathematical Journal, 2017 In the 3-dimensional Lorentz-Minkowski space we prove that the sign of the Gaussian curvature of any timelike minimal surface is determined by the degeneracy and the orientations of the two null curves that generate the surface.
S. Akamine
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Smooth Random Surfaces from Tight Immersions?
, 1993 We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and ``Steiner'' actions ...
A. Billoire +32 more
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