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Progress on Ricci Solitons and Shrinkers by 李佳穎 is a document available to read on EtoBox.

This document surveys recent progress on Ricci solitons. It begins by defining Ricci solitons as natural generalizations of Einstein metrics that are self-similar solutions to the Ricci flow. It notes that while there are no non-Einstein compact steady or expanding Ricci solitons, nontrivial compact shrinking solitons exist in dimensions 4 and higher. The document then provides examples of known Ricci solitons, including compact gradient Kähler shrinkers on surfaces, toric varieties, and noncompact gradient

Author
李佳穎
Language
EN