Spinorial proofs of the Alexandrov theorem for higher order mean curvatures in $\bH^{n+1}$

2018.05.11（星期五），10:00-11:00

点：数学院南楼N913

要：The classical Alexandrov theorem in Rn+1 states that the sphere is the only compact hypersufaces $\Sigma^n$ embedded into the Euclidean space Rn+1 with constant mean curvautre. There are different proofs and generalizations of this theorem. In 2001, Hijazi, Montiel and Zhang (Math. Res. Lett, 2001) gave an elegant spinorial proof of original Alexandrov theorem. In this talk, we provide the spinorial proofs of the Alexandrov theorem for higher order mean curvatures in $\bH^{n+1}$.