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math.DG2024
The Equivalence of the Existences of Transnormal and Isoparametric Functions on Compact Manifolds
Minghao Li, Ling Yang
Through exploring the embedded transnormal systems of codimension 1, we show the existence of a transnormal function on a connected complete Riemannian manifold requires the underl…
math.DG2024
The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices
Pei-Yi Wu, Ling Yang
In this paper, we study the rigidity problem for compact minimal Legendrian submanifolds in the unit Euclidean spheres via eigenvalues of fundamental matrices, which measure the sq…