paper

Volume gap between the minimal submanifold and the unit sphere

arXiv:2412.01288 · doi:10.1142/S0129167X25500296

Abstract

In this paper, following the method of Cheng-Li-Yau, we first modify the coefficients in the constant to improve the volume gap. Further, we also enlarge our gap by applying an estimate of Cheng-Yang for eigenvalues of Laplacian.

13 pages, any comments are welcome

Volume gap between the minimal submanifold and the unit sphere · wovepaper