A note on the fundamental group of a compact minimal hypersurface

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Abstract

In this paper we generalize a well-known result of Frankel which relates the fundamental group of a complete Riemannian manifold with positive Ricci curvature to the fundamental group of a compact immersed minimal hypersurface. Here we consider the situation in which the Ricci curvature of the ambient manifold is only assumed to be nonnegative, and show that the conclusion of FrankePs theorem can fail only under special circumstances.

Original languageEnglish (US)
Pages (from-to)243-251
Number of pages9
JournalPacific Journal of Mathematics
Volume126
Issue number2
DOIs
StatePublished - Feb 1987

ASJC Scopus subject areas

  • Mathematics(all)

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