On the infinitesimal automorphisms of principal bundles

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc

This paper concerns regular connections on trivial algebraic Gprincipal fiber bundles over the infinitesimal punctured disc, where G is a connected reductive linear algebraic group over an algebraically closed field of characteristic zero. We show that the pull-back of every regular connection to an appropriate covering of the infinitesimal punctured disc is gauge equivalent to a connection of ...

On Planar Webs with Infinitesimal Automorphisms

We investigate the space of abelian relations of planar webs admitting infinitesimal automorphisms. As an application we construct 4k − 14 new algebraic families of global exceptional k-webs on the projective plane, for each k ≥ 5.

a characterization of the infinitesimal conformal transformations on tangent bundles