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In mathematics, a surface bundle is a bundle in which the fiber is a surface. When the base space is a circle the total space is three-dimensional and is often called a surface bundle over the circle.
In mathematics, a surfacebundle is a bundle in which the fiber is a surface. When the base space is a circle the total space is three-dimensional and...
mesophyll cells lie between the bundle sheath and the leaf surface. The Calvin cycle is confined to the chloroplasts of these bundle sheath cells in C4 plants...
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...
In mathematics, a surfacebundle over the circle is a fiber bundle with base space a circle, and with fiber space a surface. Therefore the total space...
a , b ) {\displaystyle (a,b)} with a > 0 {\displaystyle a>0} is the surfacebundle of the automorphism of a disk given by rotation by an angle of 2 π b...
A torus bundle, in the sub-field of geometric topology in mathematics, is a kind of surfacebundle over the circle, which in turn is a class of three-manifolds...
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...
orientability of a family of spaces parameterized by some other space (a fiber bundle) for which an orientation must be selected in each of the spaces which varies...
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...
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally...
"K3 surface" In mathematics, a complex analytic K3 surface is a compact connected complex manifold of dimension 2 with а trivial canonical bundle and...
Quillen determinant line bundle is a line bundle over the space of Cauchy–Riemann operators of a vector bundle over a Riemann surface, introduced by Quillen (1985)...
of the Surface devices, the initial release of the Surface and Surface Pro had bundle options, which bundled the black Touch Cover. The Surface Pen has...
'Higgs bundle', and the condition φ ∧ φ = 0 {\displaystyle \varphi \wedge \varphi =0} (which is vacuous in Hitchin's original set-up on Riemann surfaces) was...
O*) only if the projective bundle is the projectivization of a vector bundle. In particular, if X is a compact Riemann surface then H2(X,O*)=0, and so this...
In mathematics, a Castelnuovo surface is a surface of general type such that the canonical bundle is very ample and such that c12 = 3pg − 7. Guido Castelnuovo...
{\mathcal {O}}(1)} , the invertible sheaf or line bundle with associated Cartier divisor a single point. The surface Σ 0 {\displaystyle \Sigma _{0}} is isomorphic...
bundle is a fiber bundle where the fiber is the circle S 1 {\displaystyle S^{1}} . Oriented circle bundles are also known as principal U(1)-bundles,...
representing in some sense the shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning...
Microsoft Surface is a series of touchscreen-based personal computers, tablets, and interactive whiteboards designed and developed by Microsoft, most...
simplest methods of defining differentiation of the sections of vector bundles. The notion of an affine connection has its roots in 19th-century geometry...
geometry, a line bundle on a projective variety is nef if it has nonnegative degree on every curve in the variety. The classes of nef line bundles are described...
an ample line bundle, although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to...
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