Skip to main content
MathOverflow

Return to Question

Became Hot Network Question
added 20 characters in body
Source Link
Francesco Polizzi
Francesco Polizzi
  • 66.3k
  • 5
  • 180
  • 283

Let $(M,g)$ be a compact Riemannian manifold with boundary and assume it has positive scalar curvature. Is it true that $DM$, the double of $M$, admits a metric of positive scalar curvature?

Question. Is it true that $DM$, the double of $M$, admits a metric of positive scalar curvature?

Let $(M,g)$ be a compact Riemannian manifold with boundary and assume it has positive scalar curvature. Is it true that $DM$, the double of $M$, admits a metric of positive scalar curvature?

Let $(M,g)$ be a compact Riemannian manifold with boundary and assume it has positive scalar curvature.

Question. Is it true that $DM$, the double of $M$, admits a metric of positive scalar curvature?

Source Link
Eduardo Longa
Eduardo Longa
  • 2.1k
  • 12
  • 11

Positive scalar curvature on the double of a manifold

Let $(M,g)$ be a compact Riemannian manifold with boundary and assume it has positive scalar curvature. Is it true that $DM$, the double of $M$, admits a metric of positive scalar curvature?