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Ricci Curvature and Gauss Maps of Minimal Submanifolds - MaRDI portal

Ricci Curvature and Gauss Maps of Minimal Submanifolds

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Publication:6215440

arXiv0909.2420MaRDI QIDQ6215440

Richard Kenneth Atkins

Publication date: 13 September 2009

Abstract: We present conditions on the Ricci curvature for complete, oriented, minimal submanifolds of Euclidean space, as well as the standard unit sphere, when the Gauss maps are bounded embeddings.





Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)








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