Results 141 to 150 of about 409 (182)

MARBLE: interpretable representations of neural population dynamics using geometric deep learning. [PDF]

open access: yesNat Methods
Gosztolai A   +4 more
europepmc   +1 more source
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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   +2 more
openaire   +1 more source

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.
openaire   +1 more source

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   +1 more
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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   +2 more sources

Invariant and Anti-Invariant Submanifolds of Generalized Sasakian Space Forms

open access: yesLobachevskii Journal of Mathematics
In this article, invariant and anti-invariant submanifolds of generalized Sasakian space forms are investigated. The important properties of such submanifolds are determined according to both Levi-Civita connection and semisymmetric metric connection.
Uday Chand De
exaly   +3 more sources

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.
openaire   +3 more sources

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