|
Abstract
|
In this manuscript, we study the Lorentz hypersurfaces of the
Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) S
5
1
having
three distinct principal curvatures. A well-known conjecture of Bang-Yen
Chen on Euclidean spaces says that every submanifold is minimal. We
consider an advanced version of the conjecture on Lorentz hypersurfaces
of S
5
1
. We present an affirmative answer to the extended conjecture on
Lorentz hypersurfaces with three distinct principal curvatures
|