Results 91 to 100 of about 42,383 (261)

Singularities of spherical surface in R4

Open Mathematics
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj   +1 more source

A geometric inequality on hypersurface in hyperbolic space [PDF]

, 2012
In this paper, we use the inverse curvature flow to prove a sharp geometric inequality on star-shaped and two-convex hypersurface in hyperbolic space.
Hai-Zhong Li, Yong Wei, Chang-Wei Xiong
semanticscholar   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Lê cycles and hypersurface singularities

, 1995
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface.
Massey, David B
core   +1 more source

Rotational hypersurface in 4-Space

, 2016
We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface.
Güler, Erhan, Magid, Martin, Yaylı, Yusuf   +2 more
core   +1 more source

Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere

The Scientific World Journal, 2014
For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
doaj   +1 more source

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic   +3 more
wiley   +1 more source

BI-ROTATIONAL HYPERSURFACE SATISFYING ?IIIx = Ax IN 4-SPACE

, 2022
We examine the bi-rotational hypersurface x = x(u, v, w) with the third Laplace-Beltrami operator in the four dimensional Euclidean space E-4. Giving the i-th curvatures of the hypersurface x, we obtain the third Laplace-Beltrami operator of the bi ...
Guler, Erhan, Yayli, Yusuf, Hacisalihoglu, Hasan Hilmi   +2 more
core   +1 more source

On Curvatures of the Torus Hypersurface in 4-Space [PDF]

, 2021
We study curvatures of torus hypersurface in the four dimensional Euclidean space.
Güler, Erhan
core   +2 more sources

Isoparametric and Dupin Hypersurfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source