A stability criterion for nonparametric minimal submanifolds | Zendy

Yng-Ing Lee | Zendy; MuTao Wang | Zendy

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A stability criterion for nonparametric minimal submanifolds

Author(s) -

Yng-Ing Lee,

MuTao Wang

Publication year - 2003

Publication title -

manuscripta mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.752

H-Index - 46

eISSN - 1432-1785

pISSN - 0025-2611

DOI - 10.1007/s00229-003-0404-2

Subject(s) - submanifold , mathematics , number theory , nonparametric statistics , algebraic geometry , graph , parametric statistics , norm (philosophy) , pure mathematics , stability (learning theory) , differential geometry , mathematical analysis , combinatorics , statistics , machine learning , political science , computer science , law

An n-dimensional minimal submanifold S of R n+m is called non-parametric if S can be represented as the graph of a vector-valued function f : D?R n?R m. This note provides a sufficient condition for the stability of such S in terms of the norm of the differential df.

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