Dearin and Gross's Chaim Perelman
نویسندگان
چکیده
منابع مشابه
Perelman, Poincaré, and the Ricci Flow
In this expository article, we introduce the topological ideas and context central to the Poincaré Conjecture. Our account is intended for a general audience, providing intuitive definitions and spatial intuition whenever possible. We define surfaces and their natural generalizations, manifolds. We then discuss the classification of surfaces as it relates to the Poincaré and Thurston Geometriza...
متن کاملPerelman Proves Poincaré
In 1904, Henri Poincaré conjectured: Every compact, connected, simply-connected 3-manifold is the 3-sphere. This conjecture has been near the center of a maelstrom of activity in topology, geometry, analysis, and many allied and sub-disciplines for a hundred years. Recently, Grisha Perelman announced a proof of the conjecture – in fact of the stronger Geometrization Conjecture of William Thurst...
متن کاملOn Perelman ’ S Papers
These are notes on Perelman’s papers “The Entropy Formula for the Ricci Flow and its Geometric Applications” [40] and “Ricci Flow with Surgery on Three-Manifolds’ [41]. In these two remarkable preprints, which were posted on the ArXiv in 2002 and 2003, Grisha Perelman announced a proof of the Poincaré Conjecture, and more generally Thurston’s Geometrization Conjecture, using the Ricci flow appr...
متن کاملThe Work of Grigory Perelman
Grigory Perelman has been awarded the Fields Medal for his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow. Perelman was born in 1966 and received his doctorate from St. Petersburg State University. He quickly became renowned for his work in Riemannian geometry and Alexandrov geometry, the latter being a form of Riemannian g...
متن کاملTHE GEOMETRIZATION CONJECTURE AFTER R. Hamilton and G. Perelman
This is the text of a Lagrange Lecture given in the mathematics department of the University of Torino. It aims at describing quite briefly the main milestones in the proof of the Geometrization conjecture due to G. Perelman using R. Hamilton’s Ricci Flow. It is by no means exhaustive and intends to be a rough guide to the reading of the detailed literature on the subject. Extended notes have b...
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ژورنال
عنوان ژورنال: Informal Logic
سال: 2003
ISSN: 0824-2577,0824-2577
DOI: 10.22329/il.v23i2.2169