Osserman Manifolds in Semi-Riemannian Geometry

Beschreibung

The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.
Includes supplementary material: sn.pub/extras

Autor*in

Eduardo Garcia-Rio

Themen in »Osserman Manifolds in Semi-Riemannian Geometry«

Osserman Conjecture Osserman Semi-Riemannian Manifold Riemannian geometry differential geometry manifold two-point homogeneous spaces

Stimmen zu »Osserman Manifolds in Semi-Riemannian Geometry«

Details

Link teilen