Existence of non-isotropic conjugate points on rank one normal homogeneous spaces

Details Existence of non-isotropic conjugate points on rank one normal homogeneous spaces Existence of non-isotropic conjugate points on rank one normal homogeneous spaces

2012-03-21

arxiv.org/abs/1203.4676v1

Mathematics

Differential Geometry

Scientific paper

We give a positive answer to the Chavel's conjecture [J. Diff. Geom. 4
(1970), 13-20]: a simply connected rank one normal homogeneous space is
symmetric if any pair of conjugate points are isotropic. It implies that all
simply connected rank one normal homogeneous space with the property that the
isotropy action is variational complete is a rank one symmetric space.

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