  Electronic structure of the three-dimensional colossal magnetoresistive
perovskite La1-xSrxMnO3 has been established using soft-X-ray ARPES with its
intrinsically sharp definition of three-dimensional electron momentum. The
experimental results show much weaker polaronic coupling compared to the
bilayer manganites and are consistent with the GGA+U band structure. The
experimental Fermi surface unveils the canonical topology of alternating
three-dimensional electron spheres and hole cubes, with their shadow contours
manifesting the rhombohedral lattice distortion. This picture has been
confirmed by one-step photoemission calculations including displacement of the
apical oxygen atoms. The rhombohedral distortion is neutral to the Jahn-Teller
effect and thus polaronic coupling, but affects the double-exchange electron
hopping and thus the colossal magnetoresistance effect.
