Search Results - "Pei, Donghe"

Evolutes and focal surfaces of (1,  k)‐type curves with respect to Bishop frame in Euclidean 3‐space by Li, Pengcheng, Pei, Donghe

“…Evolutes and focal surfaces are classical objects of the singularity theory. In this paper, we will introduce (1,  k)‐type curves and the Bishop type frame…”
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Involute–evolute and pedal–contrapedal curve pairs on S2 by Li, Enze, Pei, Donghe

“…We define involutes and contrapedal curves of spherical curves and investigate some properties. We also give the classifications of the singular points of…”
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Pedal curves of frontals in the Euclidean plane by Li, Yanlin, Pei, Donghe

“…In this paper, we will give the definition of the pedal curves of frontals and investigate the geometric properties of these curves in the Euclidean plane. We…”
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Evolutes of (n, m)-cusp curves and application in optical system by Zhang, Cuilian, Pei, Donghe

“…The focal properties of generic curvilinear planar mirrors illuminated by a coplanar light source are very clear. However, the case is vague when the mirror…”
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Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane by Zhao, Xin, Pei, Donghe

“…In this paper, we consider the pedal curves of the mixed-type curves in the Lorentz–Minkowski plane R12. The pedal curve is always given by the…”
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Evolutoids of the Mixed-Type Curves by Zhao, Xin, Pei, Donghe

“…The evolutoid of a regular curve in the Lorentz-Minkowski plane ℝ12 is the envelope of the lines between tangents and normals of the curve. It is regarded as…”
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Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space by Yao, Kaixin, Li, Meixuan, Li, Enze, Pei, Donghe

“…In this paper, we define pedal and contrapedal curves of framed immersions, which can have singularities, in the Euclidean 3-space and investigate the…”
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Pseudo‐spherical normal Darboux images of curves on a lightlike surface by Wang, Yongqiao, Pei, Donghe, Cui, Xiupeng

“…We introduce the notions of the pseudospherical normal Darboux images for the curve on a lightlike surface in Minkowski 3‐space and study these Darboux images…”
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The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric by Ma, Rongsheng, Pei, Donghe

“…We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci…”
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Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space by Li, Pengcheng, Pei, Donghe

“…The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this…”
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Ricci tensor on (κ,μ)-contact manifolds by Rongsheng Ma, Donghe Pei

“…We introduce the notion of semi-symmetric ∗-Ricci tensor and illustrate that a non-Sasakian (κ,μ)-contact manifold is ∗-Ricci semi-symmetric or has parallel…”
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Singularities of ruled null surfaces of the principal normal indicatrix to a null Cartan curve in de Sitter 3-space by Wang, Zhigang, Pei, Donghe

“…In this Letter, we investigate the ruled null surfaces of the principal normal indicatrix of a null Cartan curve in de Sitter 3-space, an important vacuum…”
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Generalized Bertrand Curves of Non-Light-like Framed Curves in Lorentz–Minkowski 3-Space by Wu, Linlin, Zhou, Anjie, Yao, Kaixin, Donghe Pei

“…In this paper, we define the generalized Bertrand curves of non-light-like framed curves in Lorentz–Minkowski 3-space; their study is essential for…”
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Generalized Bertrand Curves in Minkowski 3-Space by Zhang, Chunxiao, Pei, Donghe

“…We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and…”
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Enveloids of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane by Li, Enze, Pei, Donghe, Takahashi, Masatomo

“…We define θ -isogonal curves for one-parameter families of Legendre curves. The θ -enveloid for a given one-parameter family of Legendre curves is a plane…”
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Envelopes of one-parameter families of framed curves in the Euclidean space by Pei, Donghe, Takahashi, Masatomo, Yu, Haiou

“…As a one-parameter family of singular space curves, we consider a one-parameter family of framed curves in the Euclidean space. Then we define an envelope for…”
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Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space by Zhang, Wei, Li, Pengcheng, Pei, Donghe

“…In the present paper, we defined the circular evolutes and involutes for a given spacelike framed curve with respect to Bishop directions in Minkowski 3-space…”
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Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space by Li, Meixuan, Yao, Kaixin, Li, Pengcheng, Pei, Donghe

“…We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the…”
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Duality of the Evolute-Involute Pair and Its Application by Zhang, Cuilian, Pei, Donghe

“…We studied the type of cusps on the caustic in the optical model that the coplanar point light source irradiates a singular planar curvilinear mirror in our…”
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Singular Surfaces of Osculating Circles in Three-Dimensional Euclidean Space by Liu, Kemeng, Li, Zewen, Pei, Donghe

“…In this paper, we study the surfaces of osculating circles, which are the sets of all osculating circles at all points of regular curves. Since the surfaces of…”
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