Abstract:An erratum to Lemma 2.1 in Do Carmo and Zhou (2000) is presented.Key words: Riemannian manifold, eigenvalue, hypersurface, mean curvature.
ERRATUMReplace Section 2 in Do Carmo and Zhou (2000) by the following. The resulting change in the lemma will not affect the rest of the paper.
A RESULT ON NODAL DOMAINSIn this section we prove a result on the nodal domains of |φ| which will be needed in our proof of main theorems. We first need to recall the definition of nodal domains.Definition. An open domain D is calle… Show more
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