Year: 2026
Type: preprint
Abstract: Let $F:M^n\to\Sn^{n+q}(1)$ be a closed minimal immersion in the unit sphere, with $n\ge3$, $q\ge2$. Let $S$ be the squared length of its second fundamental form. We prove that if $M$ is not totally geodesic, then $$ \max_M S> \frac{n(288\sqrt6\,n-288)}{(288\sqrt6+192)n-137} >\frac{2n}{3}+\frac{31-9\sqrt6}{75}(n-2). $$
Source: arXiv (Cornell University)
Authors: Li, Fagui, Zhao, Yuhang
Institutions: Beijing Institute of Technology, Nanjing University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1700875239, G5965698774, G7311231258
OpenAlex ID: W7203705242