Lixin Xiao

collaborators

3 papers

math.DG2026

Normal-Yang-Mills and Tangent-Yang-Mills submanifolds

Jianquan Ge, Lixin Xiao, Wenjin Zhang

This paper investigates the variational problems associated with the $L^{2}$ -norms of the normal and tangent curvature tensors for submanifolds immersed in a unit sphere. We define t…

math.DG2026

Weakly stable irreducible Yang-Mills fields over $S^{4}$

Jianquan Ge, Lixin Xiao

Addressing Yau's conjecture (Problem 117) on $S^{4}$ , we investigate the self-duality of weakly stable Yang-Mills fields under the assumption of irreducibility. For structure groups…

math.DG2026

Principal Distribution Isomorphisms and Almost Hermitian geometry on Isoparametric Hypersurfaces

Lixin Xiao, Wenjiao Yan, Wenjin Zhang

This paper investigates the isomorphisms between principal distributions $D_{k}$ $(k = 1, \dots 4)$ on OT--FKM type isoparametric hypersurfaces in spheres. We recover the isom…

Normal-Yang-Mills and Tangent-Yang-Mills submanifolds

Weakly stable irreducible Yang-Mills fields over S4

Principal Distribution Isomorphisms and Almost Hermitian geometry on Isoparametric Hypersurfaces

Weakly stable irreducible Yang-Mills fields over $S^{4}$