How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could give a rank 2 complex bundle which can bot be split as a sum of two line bundles.
Thanks a lot.
How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could give a rank 2 complex bundle which can bot be split as a sum of two line bundles.
Thanks a lot.