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Shapes and high-spin properties of nuclei from the neutron-rich (N >56) zirconium region are calculated using the Nilsson-Strutinsky method with the cranked Woods-Saxon average potential and monopole pairing residual interaction. The shape coexistence effects and the competition between rotationally-aligned 1h 11/2 neutron and 1g 9/2 proton bands is discussed. Predictions are made for the low-lying superdeformed bands in this mass region, characterized by the intruder states originating from the N =5 and 6 oscillator shells.PACS number(s): 21.10. Ky, 21.10.Re, 21.60.Jz, 27.60.+j Typeset using REVT E X One of the authors (J.S.) would like to express his thanks to Bill Phillips and the staff of the Department of Nuclear Physics of Manchester University for the hospitality extended to him during his stay there. The helpful assistance of Mike Pettipher of the Manchester Computational Center is gratefully acknowledged.

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