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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
Denote by R, H and S the normalized scalar curvature, the mean curvature and the square of the length of the second fundamental form of Mn, respectively.
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Denote byR, H andS, the normalized scalar curvature, the mean curvature, and the square of the length of the second fundamental form ofM1, respectively.
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We first give an optimal estimate of the Laplacian of the squared norm of the second fundamental form for such submanifold.
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Hsu[5] proved that if ∥S∥2≤2√2π, thenM is either the equatorial sphere or the Clifford torus, whereS is the square of the length of the second fundamental form ofM, ∥·∥2 denotes theL2-norm onM.
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An important scalar is defined by the mean curvature and the squared norm of the second fundamental form of an oriented complete submanifold Mn in a space form of nonnegative sectional curvature.
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