Showing papers on "Frame bundle published in 1967"
78 citations
56 citations
26 citations
19 citations
9 citations
01 Apr 1967
TL;DR: In this paper, it was shown that a vector bundle over a space Y can be induced by a map, provided that the map is a finite covering map and the vector bundle L over X determines a direct image vector bundle r * L over Y.
Abstract: It is well known that if M is a vector bundle over a space Y , and r : X → Y is a map, then there is an ‘induced’ vector bundle r * M over X . It is also known that a vector bundle L over X determines a ‘direct image’ vector bundle r * L over Y provided that r is a finite covering map ((1), § 1).
5 citations
31 Dec 1967
4 citations
TL;DR: In this article, a simpler and more reasonable definition of the q-th derivative of vector bundle in terms of sheaf theory is given. But the complexity of Pohl's definition is very complicated.
Abstract: In the present note we shall be concerned with the improvement of fundamental definitions in higher order enumerative geometry which has been recently given by W. F. Pohl. Pohl’s definition of q -th derivative of vector bundle is very complicated. We shall give a simpler and more reasonable definition of the q -th derivative of vector bundle in terms of sheaf theory and simplify the proofs in [P]. We shall also give a definition of higher order singularity of map.