Book chapter
Характеристика Эйлера-Сатаки компактных аффинных орбифолдов
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.