Infinitesimal homogeneity and bundles

A Characterization of the Infinitesimal Conformal Transformations on Tangent 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 ...

On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales

The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties of global optimization methods is strong homogeneity meaning that a method produces the same sequences of points where the objective function is evaluated independently both of multiplication of the function by a scali...

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 ...