Xiaobo Liu


B.S., Tsinghua University, 1987
Ph.D., University of Pennsylvania, 1994


Mailing Address:
255 Hurley Bldg
Notre Dame, IN  46556-4618

For additional information see Xiaobo Liu’s Personal Page.

Research Interests

Differential Geometry.

Selected Publications

  • Elliptic Gromov-Witten invariants and Virasoro conjecture, Communications in Mathematical Physics, vol. 216, 2001.
  • (Joint with Gang Tian) Virasoro constraints for quantum cohomology. Journal of Differential Geometry, vol. 50, 1998.
  • (Joint with Ernst Heintze) Homogeneity of infinite dimensional isoparametric submanifolds. Annals of Mathematics, vol. 149, 1999.
  • (Joint with Ernst Heintze) A splitting theorem for isoparametric submanifolds in Hilbert spaces. Journal of Differential Geometry, vol. 45, 1997.
  • Volume minimizing cycles in compact Lie groups. American Journal of Math., vol. 117, 1995.
  • Rigidity of the Gauss map in compact Lie groups. Duke Math. Journal, vol. 77, 1995.

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