The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES

  • Received : 2012.04.03
  • Accepted : 2012.06.22
  • Published : 2012.08.31
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Abstract

For each submanifold X in the sphere $S^n$; we show that the corresponding conormal bundle $N^*X$ is Lagrangian for the Stenzel form on $T^*S^n$. Furthermore, we correspond an austere submanifold X to a special Lagrangian submanifold $N^*X$ in $T^*S^n$. We also discuss austere submanifolds in $S^n$ from isoparametric geometry.

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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