10 citations · 18 across the 4 of their papers we have counts for
7 papers
Isoparametric foliations and complex structures
Chao Qian, Zizhou Tang, Wenjiao Yan
Explicit representations of complex structures on closed manifolds are valuable, but relatively rare in the literature. Using isoparametric theory, we construct complex structures…
On two questions of James
Chao Qian, Zizhou Tang, Wenjiao Yan
64 years ago, I. M. James raised two fundamental questions about octonionic Stiefel spaces. The prime objective of this paper is to figure out partial answers to both of them.
Extrinsic geometry of the Gromoll-Meyer sphere
Chao Qian, Zizhou Tang, Wenjiao Yan
Among a family of 2-parameter left invariant metrics on Sp(2), we determine which have nonnegative sectional curvatures and which are Einstein. On the quotiente $\widetilde{N}^{11}…
Clifford algebra, isoparametric foliation and related geometric constructions
Chao Qian, Zizhou Tang
Based on representation theory of Clifford algebra, Ferus, Karcher and Münzner constructed a series of isoparametric foliations. In this paper, we will survey recent studies on iso…
A sufficient condition for a hypersurface to be isoparametric
Zizhou Tang, Dongyi Wei, Wenjiao Yan
Let be a closed Riemannian manifold on which the integral of the scalar curvature is nonnegative. Suppose is a symmetric tensor field whose dual $(1,1)…
Isoparametric theory and its applications
Zizhou Tang, Wenjiao Yan
This is a survey on the recent progress in several applications of isoparametric theory, including an affirmative answer to Yau's conjecture on the first eigenvalue of Laplacian in…