Helix, shadow boundary and minimal submanifolds
Gabriel Ruiz-Hernández
Source: Illinois J. Math. Volume 52, Number 4
(2008), 1385-1397.
Abstract
We give conditions for the shadow boundary of a Riemannian submanifold M to be regular. We prove that a helix hypersurface is ruled. By studying some relations between these natural submanifolds, we show that a minimal helix shadow boundary hypersurface of M is totally geodesic in M.
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Permanent link to this document: http://projecteuclid.org/euclid.ijm/1258554368
Mathematical Reviews number (MathSciNet): MR2595773
Zentralblatt MATH identifier: 1181.53047
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Illinois Journal of Mathematics
