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.

Mots clés: Monopoles, Graviatational Monopoles, Seiberg-Witten Equation type

Domaines: Physique mathématique [math-ph]; Géométrie algébrique [math.AG]; Géométrie différentielle [math.DG]; Physique des Hautes Energies - Théorie [hep-th]

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