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Normal bundle information


In differential geometry, a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or immersion).

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Normal bundle

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geometry, a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or...

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Stable normal bundle

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branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal (dually, tangential) data. There...

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Normal cone

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the normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. The normal cone...

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Tubular neighborhood

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submanifold of a smooth manifold is an open set around it resembling the normal bundle. The idea behind a tubular neighborhood can be explained in a simple...

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Normal

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extension), used heavily in cryptography Normal bundle Normal cone, of a subscheme in algebraic geometry Normal coordinates, in differential geometry, local...

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Right bundle branch block

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A right bundle branch block (RBBB) is a heart block in the right bundle branch of the electrical conduction system. During a right bundle branch block...

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Normal invariant

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closed manifold. In particular, X has a good candidate for a stable normal bundle and a Thom collapse map, which is equivalent to there being a map from...

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Bundle of His

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The bundle of His (BH): 58  or His bundle (HB): 232  (/hɪs/ "hiss") is a collection of heart muscle cells specialized for electrical conduction. As part...

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Canonical bundle

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canonical bundle of a non-singular algebraic variety V {\displaystyle V} of dimension n {\displaystyle n} over a field is the line bundle Ω n = ω {\displaystyle...

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Todd class

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of a Chern class, or stands in relation to it as a conormal bundle does to a normal bundle. The Todd class plays a fundamental role in generalising the...

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Parallelizable manifold

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trivialisation of the normal bundle, and also for an abstract (that is, non-embedded) manifold with a given stable trivialisation of the tangent bundle. A related...

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Bundle adjustment

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systems termed the normal equations. When solving the minimization problems arising in the framework of bundle adjustment, the normal equations have a sparse...

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Coherent sheaf

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TX|_{Y}\to N_{Y/X}\to 0,} which can be used as a definition of the normal bundle N Y / X {\displaystyle N_{Y/X}} to Y {\displaystyle Y} in X {\displaystyle...

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Thom space

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and differential topology is a topological space associated to a vector bundle, over any paracompact space. One way to construct this space is as follows...

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Humble Bundle

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Humble Bundle, Inc. is a digital storefront for video games, which grew out of its original offering of Humble Bundles, collections of games sold at a...

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Soul theorem

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closed totally convex, totally geodesic embedded submanifold whose normal bundle is diffeomorphic to M. Such a submanifold is called a soul of (M, g)...

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Glossary of Riemannian and metric geometry

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S^{1}} -bundle over a nilmanifold is a nilmanifold. It also can be defined as a factor of a connected nilpotent Lie group by a lattice. Normal bundle: associated...

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Second fundamental form

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case it is a quadratic form on the tangent space with values in the normal bundle and it can be defined by I I ( v , w ) = ( ∇ v w ) ⊥ , {\displaystyle...

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Manifold

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and there is no intrinsic notion of a normal bundle, but instead there is an intrinsic stable normal bundle. The n-sphere Sn is a generalisation of...

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Blowing up

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as the projectivization of the normal bundle of Z in X. Since E is a smooth divisor, its normal bundle is a line bundle. It is not difficult to show that...

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Vector bundle

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In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X...

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Connected sum

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N_{M_{1}}V\setminus V\to N_{M_{2}}V\setminus V\cong N_{2}\setminus V,} where each normal bundle N M i V {\displaystyle N_{M_{i}}V} is diffeomorphically identified with...

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Left bundle branch block

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the left bundle branch means that it takes longer than normal for the left ventricle to fully depolarise. This can be due to a damaged bundle branch that...

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Codimension

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the tangent bundle (the number of dimensions that you can move on the submanifold), the codimension is the dimension of the normal bundle (the number...

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