Suppose (M,g) is immersed as a hypersurface in n-dimensional space,How to show that the shape Operator S=a*Ric iff the metric has constant curvaturre(a is a constant number)?
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closed as too localized by Andres Caicedo, José Figueroa-O'Farrill, Deane Yang, Pete L. Clark, Will Jagy Jan 4 2011 at 19:02 |
