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English
New Course
Concept
Geometrization Conjecture
The
Geometrization Conjecture
, proposed by
William Thurston
, is a far-reaching statement about the structure of
three-dimensional manifolds
, suggesting that every such manifold can be decomposed into pieces with
uniform geometric structures
. This conjecture, which generalizes the
Poincaré Conjecture
, was proven by
Grigori Perelman
in the early 2000s using Richard S. Hamilton's
Ricci flow
with
surgery technique
, revolutionizing the field of
geometric topology
.
Relevant Fields:
Geometry 78%
Algebra 22%
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