Results 21 to 30 of about 91 (81)

Helicoidal surfaces with Δ ᴶ ᵣ = Ar in 3-dimensional Euclidean space [PDF]

, 2015
In this paper we study the helicoidal surfaces in the 3-dimensional Euclidean space under the condition ΔJ r = Ar; J = I; II; III; where A = (aij) is a constant 3 χ 3 matrix and ΔJ denotes the Laplace operator with respect to the fundamental forms I, II ...
SENOUSSI, Bendehiba, BEKKAR, Mohammed
core  

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Advanced Nonlinear Studies
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj   +1 more source

Curvature lines on orthogonal surfaces of R3 and Joachimsthal Theorem

Civilizar, 2005
In this paper is studied, as a complement of Joachimsthal theorem, the behavior of curvature lines near a principal cycle common to two orthogonal surfaces.
Ronaldo A. Garcia
doaj   +1 more source

21G11-LexA neurons receive input from the V-glomerulus.

, 2019
(A) Schematics of the experiment and calcium response at the LH, using GCaMP6m, of 21G11-LexA neurons to air, 0.5%, 1%, and 2% of CO2 while Gr21a-GAL4 neurons are silenced by expression of Kir2.1.
Miguel Gaspar (51400), Sophie Dias (6239615), Nélia Varela (6239612), Maria Luísa Vasconcelos (6239618)   +3 more
core   +1 more source

Pedal and negative pedal surfaces of framed curves in the Euclidean 3-space

Open Mathematics
We define pedal and negative pedal surfaces of framed curves in the Euclidean 3-space and find that the loci of singularities of them are pedal and negative pedal curves, respectively. Moreover, we give sufficient conditions that pedal and negative pedal
Yao Kaixin, Pei Donghe
doaj   +1 more source

Sur La H-Rigidité Des Surfaces Complètes De R3 [PDF]

, 2017
Le théorème fondamental de la théorie locale des surfaces affirme que toute immersion C3 d'une surface dans R3 est déterminée, à congruence près, par sa première et deuxième forme fondamentale.
Haab, François
core  

Sweeping surfaces according to quasi curve and quasi focal curve in Euclidean 3-space

Open Mathematics
In this paper, sweeping surfaces generated by quasi curves and quasi focal curves are introduced using a quasi frame in the Euclidean 3-space. First, the singular points, the Gaussian and mean curvatures of sweeping surfaces with a quasi curve are ...
Boyacıoğlu Kalkan Özgür, Şenyurt Süleyman, Canlı Davut   +2 more
doaj   +1 more source

Siacci's Theorem According to Darboux Frame

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point
Ozen Kahraman Esen, Tosun Murat, Akyiğit Mahmut   +2 more
doaj   +1 more source

Singularities of multiplicative spherical Darboux image and multiplicative rectifying developable surface

Demonstratio Mathematica
In this study, singularity theory is used to explore the geometrical and topological properties of three types of curves and surfaces in multiplicative Euclidean space.
Li Jiaxin, Yao Xinyu, Ma Zikun, Liu Haiming   +3 more
doaj   +1 more source

Behavior of spatial curves under different transformations in Euclidean 4-space

Demonstratio Mathematica
This study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E4{{\mathbb{E}}}^{4}.
Badyal Pushpinder, Singh Kuljeet, Sharma Sandeep   +2 more
doaj   +1 more source