Zizhou Tang

activity

20082026

most citedNew examples of Willmore submanifolds in the unit sphere via isoparametric functions,II

26 citations · 126 across the 34 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.DG2011

New examples of Willmore submanifolds in the unit sphere via isoparametric functions

Zizhou Tang, Wenjiao Yan

An isometric immersion $x : M^{n} \to S^{n + p}$ is called Willmore if it is an extremal submanifold of the Willmore functional: $W (x) = \int_{M^{n}} (S - n H^{2})^{\frac{n}{2}} d v$ , where…

math.DG2011

Schoen-Yau-Gromov-Lawson theory and isoparametric foliations

Zizhou Tang, Yuquan Xie, Wenjiao Yan

Motivated by the celebrated Schoen-Yau-Gromov-Lawson surgery theory on metrics of positive scalar curvature, we construct a double manifold associated with a minimal isoparametric…

math.DG2011

A Filtration for Isoparametric Hypersurfaces in Riemannian Manifolds

Jianquan Ge, Zizhou Tang, Wenjiao Yan

This paper introduces the notion of $k$ -isoparametric hypersurface in an $(n + 1)$ -dimensional Riemannian manifold for $k = 0, 1, ..., n$ . Many fundamental and interesting results (toward…