Results 41 to 50 of about 33,035 (232)

A New Class of Contact Pseudo Framed Manifolds with Applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
doaj   +1 more source

Formal biholomorphic maps of real analytic hypersurfaces

open access: yes, 2000
Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f ...
Mir, Nordine
core   +4 more sources

Algebraicity of Global Real Analytic Hypersurfaces

open access: yesGeometriae Dedicata, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurdyka, Krzysztof, Kucharz, Wojciech
openaire   +3 more sources

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

open access: yesInternational 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   +2 more
wiley   +1 more source

The Shape Operator of Real Hypersurfaces in S6(1)

open access: yesMathematics
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally,
Djordje Kocić, Miroslava Antić
doaj   +1 more source

Characterizing Spheres in ℂ2 by Their Levi Curvature: A Result à la Jellett

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
We investigate rigidity problems for a class of real hypersurfaces in ℂ2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V.
Giulio Tralli
doaj   +1 more source

Extension of Levi-flat hypersurfaces past CR boundaries

open access: yes, 2006
Local conditions on boundaries of $C^\infty$ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real ...
Lebl, Jiri
core   +4 more sources

Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan   +3 more
wiley   +1 more source

Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

open access: yesOpen Mathematics, 2015
In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
de Dios Pérez Juan   +2 more
doaj   +1 more source

Quasi-Einstein Hypersurfaces of Complex Space Forms

open access: yesAdvances in Mathematical Physics, 2020
Based on a well-known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi-Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat complex ...
Xuehui Cui, Xiaomin Chen
doaj   +1 more source

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