A warped product splitting theorem
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Publication:1196422
DOI10.1215/S0012-7094-92-06723-8zbMath0772.53030OpenAlexW1965229345WikidataQ125755937 ScholiaQ125755937MaRDI QIDQ1196422
Christopher B. Croke, Bruce Kleiner
Publication date: 14 December 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06723-8
maximum principleBusemann functiondistance functionsboundary mean curvatureequidistant hypersurfacedistance of hypersurfaceslower Ricci bounds
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Cites Work
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- An elementary proof of the Cheeger-Gromoll splitting theorem
- Eigenvalue comparison theorems and its geometric applications
- An elementary method in the study of nonnegative curvature
- The splitting theorem for manifolds of nonnegative Ricci curvature