A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Ewha Womans University)

Lee, Jae-Hyouk. (2012). A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES. 한국수학교육학회지시리즈B:순수및응용수학, 19(3), 239-249, https://doi.org/10.7468/jksmeb.2012.19.3.239

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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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Vol.19 No.3

A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES

A NOTE ON SPECIAL LAGRANGIANS OF COTANGENT BUNDLES OF SPHERES

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학