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THE STRUCTURE OF THE REGULAR LEVEL SETS
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 Title & Authors
THE STRUCTURE OF THE REGULAR LEVEL SETS
Hwang, Seung-Su;
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 Abstract
Consider the -adjoint of the linearization of the scalar curvature . If ker on an n-dimensional compact manifold, it is well known that the scalar curvature is a non-negative constant. In this paper, we study the structure of the level set (0) and find the behavior of Ricci tensor when ker with > 0. Also for a nontrivial solution (g, f) of on an n-dimensional compact manifold, we analyze the structure of the regular level set (-1). These results give a good understanding of the given manifolds.
 Keywords
scalar curvature;the regular level set;the traceless Ricci tensor;
 Language
English
 Cited by
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