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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.19 No.3

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A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.3, pp.239-249
https://doi.org/10.7468/jksmeb.2012.19.3.239
Lee, Jae-Hyouk
Lee,, J. (2012). A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(3), 239-249, https://doi.org/10.7468/jksmeb.2012.19.3.239

Abstract

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

keywords
special Lagrangians, cotangent bundle, Stenzel metric

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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