nLab p-curvature

Contents

Context

Riemannian geometry

Riemannian geometry

Contents

Idea

In Riemannian geometry the term $p$-curvature (Labbi 97) refers to a generalization of the scalar curvature.

References

In Riemannian geometry

The concept was introduced in

• Mohammed Labbi, Stability under surgeries of the $p$-curvature positivity and manifolds with positive Einstein tensor, Annals of Global Analysis and Geometry, 15 no 4, 299-312 (1997). (pdf)

Further discussion includes

• Brian Osserman, Connections, curvature and $p$-curvature (pdf)