= Chern's conjecture for hypersurfaces in spheres
{wiki=Chern's_conjecture_for_hypersurfaces_in_spheres}
Chern's conjecture for hypersurfaces in spheres relates to the behavior of certain types of complex manifolds, particularly in the context of algebraic geometry and differential geometry. More specifically, it postulates a relationship between the curvature of a hypersurface and the topology of the manifold it resides in. In the case of hypersurfaces in spheres, the conjecture suggests that there exists a relationship between the total curvature of a hypersurface and the degree of the hypersurface when embedded in a sphere.
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