In this study, we first give a relation between Frenet formulas and harmonic curvatures of a curve of osculating order 5 in L. Also, we find a relation between harmonic curvatures and ccr-curves of a curve in L and also obtain some results. Finally, we calculate constant curvature ratios ...
06 国际基础科学大会-Linear stability of Ricci solitons-Huai-Dong Cao 1:06:54 国际基础科学大会-On mass-capacity inequalities and their implications-Pengzi Miao 1:05:13 国际基础科学大会-Recent progress on minimal and constant mean curvature surfaces 1:04:39 国际基础科学大会-Entropy Analysis and ...
Relationships Between Nilpotency and Curvature - Aaron Naber 58:13 Corners with Polynomial Side Length - Noah Kravitz 56:10 Detecting Primitivity and Free-splittings in the Free Group Algebra - Doron Pude 46:35 Kahler Packages on Valuations on Convex Sets and Their Application 02:05:01 ...
We restrict our investigation of osculating curves in E 4 1 to spacelike curves whose Frenet frame contains only non-null vector fields, as well as to timelike curves and characterize such curves in terms of their curvature functions. Moreover, we obtain the explicit equations of such ...
We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are ???soliton???
A sharp height estimate for compact spacelike hypersurfaces with constant r-mean curvature in the Lorentz-Minkowski space and application In this paper we obtain a sharp height estimate concerning compact spacelike hypersurfaces Σ n immersed in the ( n + 1 )-dimensional Lorentz–Minkowski sp......
straight line- a line traced by a point traveling in a constant direction; a line of zero curvature; "the shortest distance between two points is a straight line" 2.curve- a line on a graph representing data regression curve,regression line- a smooth curve fitted to the set of paired dat...
We examine the space of surfaces in $\\RR^{3}$ which are complete, properly embedded and have nonzero constant mean curvature. These surfaces are noncompact provided we exclude the case of the round sphere. We prove that the space $\\Mk$ of all such surfaces with $k$ ends (where ...
We study the XY-model on a planar curve with a segment with constant curvature κ 0 and a space curve with a segment with both constant curvature κ 0 and ... R Dandoloff,A Saxena - 《Physics Letters A》 被引量: 4发表: 2006年 Discrete Isoperimetric Deformation of Discrete Curves The ...
The only curves in ordinary Euclidean space with constant curvature are straight lines, circles, and helices. In practice, curvature is found with a formula that gives the rate of change, or derivative, of the tangent to the curve as one moves along the curve. This formula was discovered by...