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

Fuente: arXiv
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Autor principal: Ros, Antonio
Formato: Preprint
Publicado: 2020
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author Ros, Antonio
author_facet Ros, Antonio
contents 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 $0$.
format Preprint
id arxiv_https___arxiv_org_abs_2002_07276
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Index one minimal surfaces in positively curved $3$-manifolds
Ros, Antonio
Differential Geometry
53A10, 58E12, 57M50
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 $0$.
title Index one minimal surfaces in positively curved $3$-manifolds
topic Differential Geometry
53A10, 58E12, 57M50
url https://arxiv.org/abs/2002.07276