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Regular version of the site

Book chapter

Характеристика Эйлера-Сатаки компактных аффинных орбифолдов

С. 9-16.
Жукова Н. И., Багаев А. В.

According to Chern's conjecture, the Euler characteristic of a closed affine manifold
must be zero. We prove the equivalence of this Chern conjecture to the following conjecture
for orbifolds: the Euler--Sataki characteristic of a compact affine orbifold is zero.
We found the conditions under which the Euler--Sataki characteristic of a compact affine orbifold
vanishes. Examples are constructed.