Remarks on η-Einstein unit tangent bundles

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Einstein Metrics on Tangent Bundles of Spheres

We give an elementary treatment of the existence of complete Kähler-Einstein metrics with nonpositive Einstein constant and underlying manifold diffeomorphic to the tangent bundle of the (n + 1)-sphere. Mathematics Subject Classification (2000) 53C

Geometry and Topology of Manifolds

s 19 ALEKSEEVSKY, Dmitri , Geometry of quaternionic and para-quaternionic CR manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 BELKO, Ivan, The fundamental form on a Lie groupoid of diffeomorphisms 20 BOGDANOVICH, Sergey A., ERMOLITSKI, Alexander A., Hypercomplex structures on tangent bundles . . . . . . . . . . . . . . . . . . . . 22 DESZCZ, Ryszard, On Roter type mani...

Fedosov Quantization of Lagrange–Finsler and Hamilton–Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles

We provide a method of converting Lagrange and Finsler spaces and their Legendre transforms to Hamilton and Cartan spaces into almost Kähler structures on tangent and cotangent bundles. In particular cases, the Hamilton spaces contain nonholonomic lifts of (pseudo) Riemannian / Einstein metrics on effective phase spaces. This allows us to define the corresponding Fedosov operators and develop d...

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 ...