vector bundle

A fiber bundle for which the fiber is a vector space.

Noun

  1. A fiber bundle for which the fiber is a vector space.
    • Let E and F be two vector bundles on a compact algebraic set X. - 1995, Mauro Beltrametti, Andrew John Sommese, The Adjunction Theory of Complex Projective Varieties, Walter de Gruyter, page 8:
    • 2012, Igor Burban, Bernd Kreussler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, American Mathematical Society, page 5, This solutions actually depend on the choice of a trivialisation ΞΎ...
    • Definition 6.1.5 A non-zero vector bundle #92;mathcal#123;F#125; on X is said to be decomposable if it can be written as #92;mathcal#123;F#125;#95;1#92;oplus#92;mathcal#123;F#125;#95;2 with #92;mathcal#123;F#125;#95;1...

Forms

vector bundles

Hypernyms

fiber bundle

Hyponyms

tangent bundle line bundle