On Complete Minimal Submanifolds in a Sphere

Autor: Yoshio Matsuyama, Shogo Suzuki
Rok vydání: 2020
Předmět:
Zdroj: Springer Proceedings in Mathematics & Statistics ISBN: 9789811554544
DOI: 10.1007/978-981-15-5455-1_1
Popis: Let M be an n-dimensional complete minimal submanifold in \(S^{n+p}, p \ge 2\). If \(|\sigma |^{2} \le \displaystyle \frac{2}{3} n\), M is either a totally geodesic submanifold or a Veronese surface in \(S^{4}\).
Databáze: OpenAIRE