26 citations · 126 across the 34 of their papers we have counts for
5 papers · 1 filter
Isoparametric foliation and Yau conjecture on the first eigenvalue, II
Zizhou Tang, Yuquan Xie, Wenjiao Yan
This is a continuation of Tang and Yan, which investigated the first eigenvalues of minimal isoparametric hypersurfaces with distinct principal curvatures and focal submanifo…
New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II
Chao Qian, Zizhou Tang, Wenjiao Yan
This paper is a continuation of a paper with the same title of the last two authors. In the first part of the present paper, we give a unified geometric proof that both focal subma…
Isoparametric foliations and critical sets of eigenfunctions
Zizhou Tang, Wenjiao Yan
Jakobson and Nadirashvili \cite{JN} constructed a sequence of eigenfunctions on with a bounded number of critical points, answering in the negative the question raised by Yau…
Finiteness theorems for equifocal hypersurfaces
Jianquan Ge, Chao Qian, Zizhou Tang
In this paper, we give a finiteness result on the diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space. Furthermore, the…
Isoparametric foliation and Yau conjecture on the first eigenvalue
ZiZhou Tang, Wenjiao Yan
A well known conjecture of Yau states that the first eigenvalue of every closed minimal hypersurface in the unit sphere is just its dimension . The present pa…