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A Riemannian invariant and its applications to Einstein manifolds
Published online by Cambridge University Press: 17 April 2009
Extract
We introduce a Riemannian invariant and establish general optimal inequalities involving the invariants and the squared mean curvature for Einstein manifolds isometrically immersed in real space forms. We show that these inequalities do not hold for arbitrary submanifolds in real space forms in general. We also provide some immediate applications of the inequalities.
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- Copyright © Australian Mathematical Society 2004
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