Ransom Aldrich Myers (1952–2007)

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Let M be a compact Riemannian manifold and h a smooth function on M. Let h (x) = inf jvj=1 (Ric x (v; v) ? 2Hess(h) x (v; v)). Here Ric x denotes the Ricci curvature at x and Hess(h) is the Hessian of h. Then M has nite fundamental group if h ? h < 0. Here h =: + 2L rh is the Bismut-Witten Laplacian. This leads to a quick proof of recent results on extension of Myers' theorem to mani-folds with...

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Reply to Myers et al.

The authors agree with Myers et al. [1] that biodegradable materials represent a useful alternative in the management of tricuspid valve endocarditis repair. Our statement of dividing tricuspid valve repair choices in prosthetic and non-prosthetic techniques adequately sets the main cornerstones of surgical therapy: first, minimizing, as much as possible, the resulting valve regurgitation follo...

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ژورنال

عنوان ژورنال: Nature

سال: 2007

ISSN: 0028-0836,1476-4687

DOI: 10.1038/447160a