Isoperimetric type inequalities on submanifolds in rotation-symmetric spaces
Volume 129 / 2022
Annales Polonici Mathematici 129 (2022), 43-53
MSC: Primary 53A10; Secondary 53C42.
DOI: 10.4064/ap210422-10-5
Published online: 4 August 2022
Abstract
We study the monotonicity formula involving mean curvature for submanifolds in a rotation-symmetric space $N$. Then we get an isoperimetric type inequality on extrinsic balls of submanifolds in $N$ with a sharp constant.
