Symmetric Mean Curvature Flow on the N-Sphere

In this article, we generalize our previous results (Chen and Gaspar, 2023) joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean curvature flows in Sn+1 (for all n≥2) connecting a Clifford hypersurface S1(1n)×Sn−1(n−1n) to the equatorial spheres Sn.