THE YAMABE INVARIANT OF THE GRAVITATIONAL MONOPOLE

Gourab Bhattacharya (1)

1 LAG - Laboratoire Alexander Grothendieck

We show the Yamabe invariant is non-positive due to the presence of the Gravitational Monopole equations.

Keywords: Monopoles, Graviatational Monopoles, Seiberg-Witten Equation type

Domains: Physics [physics]; Mathematical Physics [math-ph]; Mathematics [math]; Algebraic Geometry [math.AG]; Mathematics [math]; Differential Geometry [math.DG]; Physics [physics]; High Energy Physics - Theory [hep-th]

Gourab Bhattacharya. THE YAMABE INVARIANT OF THE GRAVITATIONAL MONOPOLE. 2022. ⟨hal-03894018⟩