- immersed submanifold
- мат.погружённое подмногообразие
English-Russian scientific dictionary. 2008.
immersed submanifold
Смотреть что такое "immersed submanifold" в других словарях:
Submanifold — In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S rarr; M satisfies certain properties. There are different types of submanifolds depending on exactly which … Wikipedia
Foliation — In mathematics, a foliation is a geometric device used to study manifolds. Informally speaking, a foliation is a kind of clothing worn on a manifold, cut from a striped fabric. On each sufficiently small piece of the manifold, these stripes give… … Wikipedia
Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… … Wikipedia
Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms … Wikipedia
Geometric flow — In mathematics, specifically differential geometry, a geometric flow is the gradient flow associated to a functional on a manifold which has a geometric interpretation, usually associated with some extrinsic or intrinsic curvature. They can be… … Wikipedia
Immersion (mathematics) — In mathematics, an immersion is a differentiable map between differentiable manifolds whose derivative is everywhere injective. Explicitly, f : M → N is an immersion if:D pf : T p M o T {f(p)}N,is an injective map at every point p of M (where the … Wikipedia
Orbit (control theory) — The notion of orbit of a control system used in mathematical control theory is a particular case of the notion of orbit in group theory. Contents 1 Definition 2 Orbit theorem (Nagano Sussmann) 3 Corollary (Rashevsky Chow theorem) … Wikipedia
Isoparametric manifold — In Riemannian geometry, an isoparametric manifold is a type of (immersed) submanifold of Euclidean space whose normal bundle is flat and whose principal curvatures are constant along any parallel normal vector field. The set of isoparametric… … Wikipedia
Immersion einer Mannigfaltigkeit — Dieser Artikel wurde auf der Qualitätssicherungsseite des Portals Mathematik eingetragen. Dies geschieht, um die Qualität der Artikel aus dem Themengebiet Mathematik auf ein akzeptables Niveau zu bringen. Dabei werden Artikel gelöscht, die nicht… … Deutsch Wikipedia
Immersierte Mannigfaltigkeit — Eine immersierte Mannigfaltigkeit oder immersierte Untermannigfaltigkeit ist ein Objekte aus dem mathematischen Teilgebiet der Differentialtopologie. Seltener wird dieses Objekt auch immergierte Mannigfaltigkeit[1] genannt, im Englischen spricht… … Deutsch Wikipedia
Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − … Wikipedia
