Transformations between surfaces in $\mathbb{R}^4$ with flat normal and/or 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 ...

a characterization of the infinitesimal conformal transformations on tangent bundles

Conformally Flat Circle Bundles over Surfaces

We classify conformally flat Riemannian 3−manifolds which possesses a free isometric S−action.

New structures on the tangent bundles and tangent sphere bundles

In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifold M which generalizes Sasaki metric and Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to T (M) a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on T (M). W...