Results 1 to 10 of about 276,630 (212)

Invariant submanifolds of f-Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 2022
In the present paper, we study the invariant submanifolds of [Formula: see text]-Kenmotsu manifolds. Firstly, we show that any invariant submanifold of [Formula: see text]-Kenmotsu manifold is again [Formula: see text]-Kenmotsu manifold and minimal. Then, we give some characterizations of totally geodesic submanifolds of [Formula: see text]-Kenmotsu ...
Mohan Khatri, Sudhakar K. Chaubey, Jay Prakash Singh   +2 more
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Conformal Invariants of Submanifolds. II

2001
A set of local and a set of global conformal invariants of an n(\(\geq 2)\)- dimensional submanifold immersed in a Euclidean \((n+m)\)-space are derived. The simplest invariant in each set was obtained jointly by the first author and \textit{L. R. Mugridge} [Part I, Proc. Am. Math. Soc. 62, 316-318 (1977; Zbl 0327.53016), and Geom.
Hsiung, Chuan-Chih, Levko, John J.
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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.
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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
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Persistence of Invariant Tori on Submanifolds in Hamiltonian Systems

Journal of Nonlinear Science, 2003
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Chow, Shui-Nee, Li, Yong, Yi, Yingfei
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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
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Input–output pseudolinearization on controlled invariant submanifolds

Automatica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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 \((2n+1)\)
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Euclidean and conformal invariants of submanifolds

Geometriae Dedicata, 1979
Hsiung, Chuan-Chih, Mugridge, Larry R.
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