Results 191 to 200 of about 1,099 (217)

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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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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Input–output pseudolinearization on controlled invariant submanifolds

Automatica, 2003
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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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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.
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On invariant submanifolds of \(S\)-manifolds

2019
Summary: We consider invariant, pseudo-parallel and Ricci generalized pseudo-parallel submanifolds of \(\mathcal{S} \)-manifolds. We show that the submanifolds are totally geodesic under certain conditions. Also we study an invariant submanifold of \(\mathcal{S} \)-manifold satisfying \(Q(\sigma,R)=0\) and \(Q(S,\sigma)=0\), where \(S, R\) and \(\sigma\
Mahi, Fatiha, Belkhelfa, Mohamed
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Invariants of submanifolds in Euclidean space

1997
The topology of the set of singular support hyperplanes and hyperspheres to a smooth submanifold in Euclidean space is studied. As a corollary, some relations between differential-geometric characteristics of a manifold are obtained. In particular, if a simple closed embedded generic curve in a plane has C global vertices (where the curvature circles ...
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Characterizations for an invariant submanifold of an almost α-cosymplectic (κ,μ,ν)-space to be totally geodesic

Filomat, 2022
Mehmet Atc̣Eken
exaly