Results 221 to 230 of about 352,182 (258)

A LOCAL INVARIANT OF A RIEMANNIAN MANIFOLD

Mathematics of the USSR-Izvestiya, 1982
For any compact Riemannian manifold (X,g) of dimension 4 with tangent bundle TX, one can define three quadratic forms \(\nu\), \(\Lambda^ 2g\), R in the vector bundle \(\Lambda^ 2TX\) in a natural way. These are given respectively by the exterior product evaluated on a volume form, the second exterior power of the Riemannian metric g, and the curvature
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Invariant manifolds and global bifurcations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015
Invariant manifolds are key objects in describing how trajectories partition the phase spaces of a dynamical system. Examples include stable, unstable, and center manifolds of equilibria and periodic orbits, quasiperiodic invariant tori, and slow manifolds of systems with multiple timescales.
John Guckenheimer, Bernd Krauskopf, Hinke M. Osinga, Björn Sandstede   +3 more
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Geometrie invariants for 3-manifolds

The Mathematical Intelligencer, 1992
This is a pleasant and reasonable short and non-technical introduction to the topology and geometry of 2- and 3-dimensional manifolds, recommendable to everyone (in particular, non-specialists) who wants to learn about basic facts and ideas as well as some recent developments in this growing field, which has seen such an enormous progress in the last ...
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Geometric invariants of aCR-manifold

Mathematical Notes, 1994
The present article continues the author's cycle of papers concerning the local geometry of a CR-manifold [Math. Notes 47, No. 3, 239-242 (1990); translation from Mat. Zametki 47, No. 3, 17-22 (1990; Zbl 0715.32011); Math. Notes 48, No. 2, 721-725 (1990); translation from Mat. Zametki 48, No. 2, 3-9 (1990; Zbl 0718.32010), and Math. USSR, Sb. 72, No. 1,
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On Invariant Manifolds of Lagrange Systems

2011
This paper is a continuation of the previous work [1]. In the present paper we propose a new approach for obtaining and qualitative analysis of invariant manifolds of Lagrange systems, which possess cyclic first integrals. The main idea consists in the use of "extended" characteristic functions.
Valentin Irtegov, Tatyana Titorenko
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Invariant manifolds and dynamic bifurcations

Russian Mathematical Surveys, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbation of invariant manifolds. II

1985
Consider the system \(x'=f(x)\), \(y'=A(x)y\) (A(x) is a linear map) and the C 1-perturbation \(x'=f(x)+F(x,y)\), \(y'=A(x)y+G(x,y)\), \(F(x,0)=0\), \(G(x,0)=0\). It is proved that if the system has a special property, called kth order hyperbolicity, then for small enough perturbations the perturbed system is topologically equivalent to the unperturbed
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Invariant Manifolds

Rendiconti del Circolo Matematico di Palermo, 1961
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Invariants of Reframed Manifolds

Proceedings of the London Mathematical Society, 1979
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Invariant manifolds

2011
Peter Kloeden, Martin Rasmussen
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