Miyaoka-yau Type Inequalities for Kähler-einstein Manifolds

نویسندگان

  • KWOKWAI CHAN
  • NAICHUNG CONAN LEUNG
چکیده

We investigate Chern number inequalities on Kähler-Einstein manifolds and their relation to uniformization. For Kähler-Einstein manifolds with c1 > 0, we prove certain Chern number inequalities in the toric case. For Kähler-Einstein manifolds with c1 < 0, we propose a series of Chern number inequalities, interpolating Yau’s and Miyaoka’s inequalities.

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تاریخ انتشار 2006