STABLE MINIMAL HYPERSURFACES IN A CRITICAL POINT EQUATION | Zendy

Seungsu Hwang | Zendy

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STABLE MINIMAL HYPERSURFACES IN A CRITICAL POINT EQUATION

Author(s) -

Seungsu Hwang

Publication year - 2005

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2005.20.4.775

Subject(s) - hypersurface , mathematics , scalar curvature , critical point (mathematics) , constant (computer programming) , manifold (fluid mechanics) , mathematical analysis , scalar (mathematics) , curvature , pure mathematics , mathematical physics , geometry , mechanical engineering , computer science , engineering , programming language

On a compact n-dimensional manifold , a critical point of the total scalar curvature functional, restricted to the space of metrics with constant scalar curvature of volume 1, satifies the critical point equation (CPE), given by . It has been conjectured that a solution (g, f) of CPE is Einstein. The purpose of the present paper is to prove that every compact stable minimal hypersurface is in a certain hypersurface of under an assumption that Ker().⨀

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