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Surgery and positive Bakry-Émery Ricci curvature. [PDF]

open access: yesCalc Var Partial Differ Equ
Reiser P, Tripaldi F.
europepmc   +1 more source

Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian

open access: yesAdvances in Mathematics, 2008
56 pages. v2: Some material added in section 1; minor changes.
Ciro Ciliberto   +2 more
exaly   +6 more sources
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Hypersurfaces with Congruent Geodesics

Mathematische Nachrichten, 1992
It is the purpose of this paper to prove the following theorem: Let \(M\) be a compact hypersurface of a complete, simply connected space \(N\) of constant curvature, and suppose that all geodesics of \(M\) are congruent in \(N\). Then \(M\) is an extrinsic sphere of positive curvature. The article contains many nice geometric ideas.
openaire   +1 more source

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