WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS

DOI10.1017/S0004972714000549zbMath1314.53101arXiv1309.5722OpenAlexW2149968805WikidataQ115336880 ScholiaQ115336880MaRDI QIDQ2933699

Kwang-Soon Park

Publication date: 5 December 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5722

zbMATH Keywords

second fundamental formmean curvatureLaplacianwarped product

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• The imbedding problem for Riemannian manifolds
• Some compact hypersurfaces of constant scalar curvature in a sphere
• Warped products in real space forms
• Local rigidity theorems for minimal hypersurfaces
• A characterization of the Clifford torus
• ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
• THE SCALAR CURVATURE OF MINIMAL HYPERSURFACES IN A UNIT SPHERE

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