Задача Тысячелетия и желание победившее разум
The original Universe has maps with metrics in them. The metric is the Pythagorean generalized theorem. This original metric is being modified ``by hand" to become the perfect sphere. However the Scalar Curvature is infinite, in general case, if the metric determinant is zero. But in the perfect sphere there are places of zero determinant. (like the north and south poles, and the r=0). This 3-dim metric can be transformed into 4-dim metric with nonzero determinant, but the transformation to 3-dim metric (with non-zero determinant) is, obviously, not possible (because one dimension would be zero). Therefore, the Poincare Conjecture is wrong, in general case.
Свидетельство о публикации №217022502268