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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

2 votes
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lower volume bound of submanifolds with small mean curvature integral data

$(M^n,g)$ is a smooth submanifold in $\mathbb{R}^p$ ,and $B_1$ is the unit ball centered in the origin 0. Is there a $\epsilon >0$, when assuming $\int_{M\cap B_1} |H|^n \leq \epsilon$, and the ori …
Yuchen Bi's user avatar
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