Topic
Frame bundle
About: Frame bundle is a research topic. Over the lifetime, 1600 publications have been published within this topic receiving 23049 citations.
Papers published on a yearly basis
Papers
More filters
3 citations
Posted Content•
TL;DR: In this paper, an explicit orthonormal parallelization for all parallelizable products of spheres, using an explicit isomorphism with a trivial vector bundle, is presented, where the vector bundle is constructed by an explicit vector bundle.
Abstract: The aim of this paper is to write an explicit orthonormal parallelization for all parallelizable products of spheres, using an explicit isomorphism with a trivial vector bundle.
3 citations
01 Jan 1990
TL;DR: In this paper, the authors characterized multisoliton manifolds as symplectic prime ideals of the symplectic Lie algebra module generated by symmetries and mastersymmetries, which allowed an explicit construction of the tangent bundle of the multisolto manifolds.
Abstract: Multisoliton manifolds are characterized as symplectic prime ideals of the symplectic Lie algebra module generated by symmetries and mastersymmetries. This identification allows an explicit construction of the tangent bundle of the multisoliton manifolds.
3 citations
TL;DR: It is the aim of this note to give an example of a rank‐2 vector bundle on P1×P3 and to show that it also admits very interesting geometric properties.
Abstract: It is well known that the Horrocks–Mumford bundle [Fscr ] encodes a lot of very interesting geometric information. This is essentially the reason for the fact that much work has been done in order to find other rank-2 bundles on ℙ4. The only nonsplit vector bundles of rank 2 on ℙ4, known up to now, are twists of pullbacks of [Fscr ] by finite coverings f[ratio ]ℙ4→ℙ4. So it seems to be a natural question to consider, instead of ℙ4, other Fano 4-folds. It is the aim of this note to give an example of a rank-2 vector bundle on ℙ1×ℙ3 and to show that it also admits very interesting geometric properties.
3 citations