  We prove a sharp Log-Sobolev inequality for submanifolds of a complete
non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci
curvature and Euclidean volume growth. Our work extends a result of Dong-Lin-Lu
which already generalizes Yi-Zheng: arXiv:2104.05045 and Brendle:
arXiv:1908.10360v3.
