Results 1 to 10 of about 57 (56)

On Riemann wave superpositions obtained from the Euler system [PDF]

Open Communications in Nonlinear Mathematical Physics
The paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions.
Łukasz Chomienia, Alfred Michel Grundland   +1 more
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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
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Geometric invariants properties of osculating curves under conformal transformation in Euclidean space ℝ3

Demonstratio Mathematica
An osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet, Sharma Sandeep, Lone Mohamd Saleem   +2 more
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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
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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
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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
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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
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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
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Some aspects of normal curve on smooth surface under isometry

Demonstratio Mathematica
The normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet, Sharma Sandeep, Bhardwaj Arun Kumar   +2 more
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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant.
A. Ceylan ÇÖKEN
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