Mass from an Extrinsic Point of View

We express the -th Gauss-Bonnet-Chern mass of an immersed submanifold of Euclidean space as a linear combination of two terms: the total (2)-th mean curvature and the integral, over the entire manifold, of the inner product between the (2 + 1)-th mean curvature vector and the position vector of the...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: de Sousa, Alexandre, Girão, Frederico
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212873
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Mass from an Extrinsic Point of View. Alexandre de Sousa and Frederico Girão. SIGMA 21 (2025), 018, 11 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine