General covariant transformations of spin structures (Q1576223)

Starting from the fact that every Dirac spin structure on a world manifold \(X^4\) is associated with a certain gravitational field, the author observes that such structures are not preserved under general covariant transformations. He proposes to remedy this by constructing a composite subbundle over \(X^4\) such that any Dirac spin structure is its subbundle, and general covariant transformations are then considered. Contents includes: an introduction; reduced structure; Lorentz reduced structure; spin structure; composite spin structure; general covariant transformations; and a twenty-six item bibliography.