isometric immersion

См. также в других словарях:

• Hilbert's theorem (differential geometry) — In differential geometry, Hilbert s theorem (1901) states that there exists no complete regular surface S of constant negative Gaussian curvature K immersed in mathbb{R}^{3}. This theorem answers the question for the negative case of which… …   Wikipedia

• Embedding — In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.When some object X is said to be embedded in another object Y , the embedding is… …   Wikipedia

• Homotopy principle — In mathematics, the homotopy principle (or h principle) is a very general way to solve partial differential equations (PDEs), and more generally partial differential relations (PDRs). The h principle is good for underdetermined PDEs or PDRs, such …   Wikipedia

• Riemannian submanifold — A Riemannian submanifold N of a Riemannian manifold M is a smooth manifoldequipped with the induced Riemannian metric from M . The image of an isometric immersion is a Riemannian submanifold …   Wikipedia

• Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… …   Wikipedia

• Role-playing video game — Part of a series on …   Wikipedia

• Delayed onset muscle soreness — (DOMS), also called muscle fever, is the pain and stiffness felt in muscles several hours to days after unaccustomed or strenuous exercise. The soreness is felt most strongly 24 to 72 hours after the exercise.[1] It is caused by eccentric… …   Wikipedia

• Ice bath — Champion weightlifter Karyn Marshall took an ice bath after an event in 2011. In sports therapy, an ice bath or sometimes a cold water immersion or cold therapy is a training regimen usually following a period of intense exercise[1] …   Wikipedia

• Riemannian manifold — In Riemannian geometry, a Riemannian manifold ( M , g ) (with Riemannian metric g ) is a real differentiable manifold M in which each tangent space is equipped with an inner product g in a manner which varies smoothly from point to point. The… …   Wikipedia

• Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

• Maps of manifolds — A Morin surface, an immersion used in sphere eversion. In mathematics, more specifically in differential geometry and topology, various types of functions between manifolds are studied, both as objects in their own right and for the light they… …   Wikipedia