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Mass from an Extrinsic Point of View by de Sousa, Alexandre; Girão, Frederico is a scholarly article available to read on EtoBox.

What is Mass from an Extrinsic Point of View about?

We express the $q$-th Gauss-Bonnet-Chern mass of an immersed submanifold of Euclidean space as a linear combination of two terms: the total $(2q)$-th mean curvature and the integral, over the entire manifold, of the inner product between the $(2q+1)$-th mean curvature vector and the position vector of the immersion. As a consequence, we obtain, for each $q$, a geometric inequality that holds whenever the positive mass theorem (for the $q$-th Gauss-Bonnet-Chern mass) holds.

Author

de Sousa, Alexandre; Girão, Frederico

Published

2024

Language

EN