Download E-books The Ricci Flow: Techniques and Applications: Geometric Aspects (Mathematical Surveys and Monographs) (Pt. 1) PDF

By Bennett Chow

This booklet offers a presentation of issues in Hamilton's Ricci stream for graduate scholars and mathematicians drawn to operating within the topic. The authors have aimed toward featuring technical fabric in a transparent and specific demeanour. during this quantity, geometric facets of the idea were emphasised. The e-book provides the idea of Ricci solitons, Kähler-Ricci circulate, compactness theorems, Perelman's entropy monotonicity and no neighborhood collapsing, Perelman's decreased distance functionality and purposes to old ideas, and a primer of 3-manifold topology. quite a few technical features of Ricci move were defined in a transparent and special demeanour. The authors have attempted to make a few complex fabric available to graduate scholars and nonexperts. The e-book provides a rigorous advent to Perelman's paintings and explains technical points of Ricci move necessary for singularity research. all through, there are acceptable references in order that the reader might extra pursue the statements and proofs of many of the effects.

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