On the Morse index of minimal tori in S^4
主 题: On the Morse index of minimal tori in S^4
报告人: Peng Wang associate professor (Tongji University)
时 间: 2017-11-05 14:00-16:00
地 点: 理科1号楼1479
Abstract:
Urbano's Theorem plays important geometric roles in the proof of Willmore conjecture in S^3, which states that a closed oriented nontotally geodesic minimal surface x in S^3 has index at least 5 and the equality holds if and only if it is the Clifford torus. In this talk we will generalize Urbano's Theorem to minimal tori in S4 by showing that a minimal torus in S4 has index at least 6 and the equality holds if and only if it is the Clifford torus. This is a joint work with Prof. Rob Kusner(UMass Amherst).
