surfaces with mean curvature vector parallel in the ... - Project Euclid
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surfaces with mean curvature vector parallel in the ... - Project Euclid
Aug 25, 1971 - is said to be parallel in the normal bundle if D*rj â0. Let hij- ijj = 1,2 r = 3, ... play the most important roles, in differential geometry, for surfaces ...
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SURFACES WITH MEAN CURVATURE VECTOR PARALLEL IN THE NORMAL BUNDLE^ BANG-YEN CHEN AND GERALD D. LUDDEN §1. Introduction. Let M be a connected surface immersed in a m Euclidean m-space E . Let h be the second fundamental form of this immersion it is a certain symmetric bilinear mapping Tx x Tx-+ T^ for xe M, where Tx is the tangent space and T£ the normal space of M at x. Let H be the mean curvature vector of M in Em. If there exists a real λ such that
