A non-existence theorem for isometric immersions

DOI10.1016/J.GEOMPHYS.2008.11.001zbMath1165.53034OpenAlexW2030241383WikidataQ125554148 ScholiaQ125554148MaRDI QIDQ1009684

Alireza Ranjbar-Motlagh

Publication date: 3 April 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.11.001

zbMATH Keywords

maximum principleembeddingcurvatureisometric immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)

Cites Work

• Unnamed Item
• Isometric immersions of Riemannian manifolds
• Rigidity of spheres in Riemannian manifolds and a non-embedding theorem
• An Estimate for the Curvature of Bounded Submanifolds
• A sharp lower bound for the Ricci curvature of bounded hypersurfaces in space forms
• Maximum principles on Riemannian manifolds and applications
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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