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On the Mean Curvature Estimates for Bounded Submanifolds

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Publication:3991958
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DOI10.2307/2159644zbMath0743.53023OpenAlexW4240490666MaRDI QIDQ3991958

Roman Kosecki, Leslie Coghlan, Yoe Itokawa

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159644


zbMATH Keywords

mean curvaturesubharmonic functionsLiouville-type theorem


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)


Related Items (2)

Generalizations of the Liouville theorem ⋮ On the solutions to certain Laplace inequalities with applications to geometry of submanifolds




Cites Work

  • Unnamed Item
  • An inequality between the exterior diameter and the mean curvature of bounded immersions
  • An Estimate for the Curvature of Bounded Submanifolds




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