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On the codimension of a minimal immersion

Name: On the codimension of a minimal immersion
Creator: Pui-Fai Leung
Keywords: Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), minimal immersion, sectional curvature, codimension, 0101 mathematics, pinching, 01 natural sciences, Global Riemannian geometry, including pinching

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1984Publisher:Cambridge University Press (CUP)Journal:Bulletin of the Australian Mathematical Society, volume 30, pages 431-433 (issn: 0004-9727, eissn: 1755-1633,

Authors: Pui-Fai Leung;

doi: 10.1017/s0004972700002148

On the codimension of a minimal immersion

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Abstract

We show that a certain local pinching condition on a compact minimal submanifold in a sphere leads to a condition on the codimension of the immersion.

Related Organizations

National University of Singapore
Singapore

Keywords

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), minimal immersion, sectional curvature, codimension, pinching, Global Riemannian geometry, including pinching

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