Geodesic
Curvature Pinching for Odd-dimensional Minimal Submanifolds in a Sphere
Publications de l'Institut Mathématique, _N_S_53 (1993) no. 67, p. 122

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Using Gauchman's method, we have improved Simons' pinching constant (for codimension $p\geq 3-2/(n-1)$) and Ejiri's Ricci curvature pinching constant for odd-dimensional minimal submanifolds in a sphere.
Classification : 53C40 53C20 
Li Haizhong. Curvature Pinching for Odd-dimensional Minimal Submanifolds in a Sphere. Publications de l'Institut Mathématique, _N_S_53 (1993) no. 67, p. 122 . http://geodesic.mathdoc.fr/item/PIM_1993_N_S_53_67_a16/
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     title = {Curvature {Pinching} for {Odd-dimensional} {Minimal} {Submanifolds} in a {Sphere}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1993},
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     number = {67},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1993_N_S_53_67_a16/}
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