Results 151 to 160 of about 544 (183)

Pseudolinearization on controlled invariant submanifolds

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
We extend the original notion of pseudolinearization on equilibrium submanifolds to general controlled invariant submanifolds for nonlinear systems. This extension is motivated by nonlinear tracking and regulation problems in which the control objective is to stabilize any nominal trajectory in the submanifold.
openaire   +1 more source

Invariant submanifolds of LP-Sasakian manifolds

2020
Summary: The object of the present paper is to study some geometric conditions for an invariant submanifold of an LP-Sasakian manifold to be totally geodesic. Further we consider concircular curvature tensor satisfying some geometric conditions of an invariant submanifold of an LP-Sasakian manifold to be totally geodesic.
Venkatesha, Venkatesha, Basavarajappa, Shanmukha   +1 more
openaire   +1 more source

Persistence of Invariant Tori on Submanifolds in Hamiltonian Systems

Journal of Nonlinear Science, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chow, Shui-Nee, Li, Yong, Yi, Yingfei
openaire   +1 more source

Differential Invariants of Maximally Symmetric Submanifolds

Journal of Lie Theory, 2009
Let \(G\) be a Lie group acting smoothly on a manifold \(M\), and let \(\mathfrak g\) denote the corresponding Lie algebra of infinitesimal generators. The symmetry group of a closed submanifold \(S\subset M\) is the subgroup \(G_s=\{g\in S\mid g\cdot S=S\}\). A submanifold \(S\) is nonsingular if \(G_s\) acts freely on \(S\). A nonsingular submanifold
openaire   +2 more sources

Invariant submanifolds in a Riemannian product manifold

TRU Mathematics, 1986
Let M be a Riemannian submanifold immersed in a Riemannian product manifold N. Let F be the product tensor field of N. The submanifold M is said to be invariant if the tangent space \(T_ x(M)\) at any point x of M is invariant under the action of the tensor field F. In the present paper, the author studies such invariant submanifolds.
openaire   +2 more sources

Input–output pseudolinearization on controlled invariant submanifolds

Automatica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On invariant submanifolds of Kenmotsu manifolds

Journal of Geometry, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De, U. C., Majhi, Pradip
openaire   +2 more sources

Euclidean and conformal invariants of submanifolds

Geometriae Dedicata, 1979
Hsiung, Chuan-Chih, Mugridge, Larry R.
openaire   +2 more sources

An invariant of a submanifold transversal to a distribution

Russian Mathematical Surveys, 1988
In this paper the author gets an extension to the case of arbitrary dimensions of the isotopy invariant obtained by \textit{D. D. Bennequin} in the case of the curves transversal to a contact structure in a 3- dimensional manifold [Astérisque 107/108, 87-161 (1983; Zbl 0573.58022)]. Let \(\xi^{2n}\) be a distribution of codimension one in the \((2n+1)\)
openaire   +3 more sources

Invariant Submanifolds of a Kenmotsu Manifold

2003
In this paper new results on invariant submanifolds of a Kenmotsu manifold are estabilshed. Also there are given the characterisations theorems for the η-parallel submanifolds of a Kenmotsu manifold.
openaire   +1 more source