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arXiv · 2210.09781

Geometrization in Geometry

Izabella Muraro de Freitas·Álvaro Krüger Ramos
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Abstract

So far, the most magnificent breakthrough in mathematics in the 21st century is the Geometrization Theorem, a bold conjecture by William Thurston (generalizing Poincar\'e's Conjecture) and proved by Grigory Perelman, based on the program suggested by Richard Hamilton. In this survey article, we will explain the statement of this result, also presenting some examples of how it can be used to obtain interesting results in differential geometry.

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Izabella Muraro de Freitas, Álvaro Krüger Ramos. 2022-10-18. Geometrization in Geometry. https://arxiv.org/abs/2210.09781

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