Isometric Immersions with Geodesic Normal Sections in Semi-Riemannian Geometry (original) (raw)
2008, Tokyo Journal of Mathematics
We study an isometric immersion f : M →M with geodesic normal sections, whereM is a semi-Riemannian space form. In Riemannian geometry, it is known that f is helical, in particular, every geodesics of M have the same proper order inM. However this does not hold in general, whenM is indefinite semi-Riemannian. We give sufficient conditions for an isometric immersion with geodesic normal sections to be helical.
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