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Nearly quasiconstant curvature manifolds 159 The mean curvature vector H is given by H = 1 n trace(¾)The submanifold M is totally geodesic in Mf if ¾.

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COVARIANCE, REGRESSION, AND CORRELATION 37 yyy xx x (A) (B) (C) Figure 31 Scatterplots for the variables xand yEach point in the xyplane corresponds to a single pair of observations (x;y)The line drawn through the. CLP(Cumulative Licensing Program) TLP(Transactional Licensing Program) ü. D x I v ².

= 0, and minimal if H = 0 If ¾(X;Y) = g(X;Y)H for all X;Y 2 TM, then M is totally umbilical The relative null space of M at p is deflned by 4 Np = fX 2 TpM j¾(X;Y) = 0 for all Y 2 TpMg;. R 3 $ à.

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Page 47 17 1

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