Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature | Zendy

BangYen Chen | Zendy; Sheng Jiang | Zendy

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Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature

Author(s) -

BangYen Chen,

Sheng Jiang

Publication year - 1995

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1103408777

Subject(s) - submanifold , inscribed figure , mathematics , radius , isoperimetric inequality , radius of curvature , center (category theory) , center of mass (relativistic) , mean curvature , curvature , euclidean space , volume (thermodynamics) , mathematical analysis , geometry , order (exchange) , mean curvature flow , physics , classical mechanics , computer science , chemistry , computer security , energy–momentum relation , finance , economics , crystallography , quantum mechanics

By applying the spectral decomposition of a submanifold of a Euclidean space, we derive several sharp geometric inequalities which provide us some best possible relations between volume, center of mass, circumscribed radius, inscribed radius, order, and mean curvature of the submanifold. Several of our results sharpen some well-known geometric inequalities.

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