Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Convergence of combinatorial Ricci flows to degenerate circle patterns
HTML articles powered by AMS MathViewer

by Asuka Takatsu PDF
Trans. Amer. Math. Soc. 372 (2019), 7597-7617 Request permission

Abstract:

We investigate the combinatorial Ricci flow on a surface of nonpositive Euler characteristic when the necessary and sufficient condition for the convergence of the combinatorial Ricci flow is not valid. This observation addresses one of the questions raised by B. Chow and F. Luo.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 53C44, 52C26
  • Retrieve articles in all journals with MSC (2010): 53C44, 52C26
Additional Information
  • Asuka Takatsu
  • Affiliation: Department of Mathematical Sciences, Tokyo Metropolitan University, Tokyo 192-0397, Japan; and Mathematical Analysis Team, RIKEN Center for Advanced Intelligence Project (AIP), Tokyo 103-0027, Japan
  • MR Author ID: 899165
  • Email: asuka@tmu.ac.jp
  • Received by editor(s): September 4, 2018
  • Received by editor(s) in revised form: December 13, 2018
  • Published electronically: June 10, 2019
  • Additional Notes: This work was supported by JSPS KAKENHI Grants Number 15K17536, 16KT0132.
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 7597-7617
  • MSC (2010): Primary 53C44; Secondary 52C26
  • DOI: https://doi.org/10.1090/tran/7778
  • MathSciNet review: 4029675