Index one minimal surfaces in positively curved $3$-manifolds

Abstract

We construct a Riemannian metric of positive sectional curvature on the $3$-dimensional projective space with a two-sided closed embedded minimal surface of genus $3$, index $1$ and nullity $0$.

Final version, to appear in J. Differential Geom

References in corpus (2)

• New applications of Min-max Theory
• On the existence of minimal Heegaard surfaces