Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday

The Guest Editors for this special issue are

Lan-Hsuan Huang (University of Connecticut, USA)
Blaine Lawson (Stony Brook University, USA)
Pengzi Miao (University of Miami, USA)
Paolo Piazza (Sapienza Università di Roma, Italy)
Richard Schoen (University of California at Irvine, USA)
Christina Sormani (City University of New York, USA)
Guofang Wei (University of California at Santa Barbara, USA)

Topics for this special issue include:

  • synthetic notions of Ricci and scalar curvature;
  • geometric properties of Riemannian manifolds with bounds on their Ricci and scalar curvature;
  • low regularity notions of Ricci and scalar curvature;
  • almost rigidity and stability of rigidity theorems involving Ricci and scalar curvature;
  • convergence of sequences of Riemannian manifolds with bounds on their Ricci or scalar curvature and the properties of their limit spaces.

Misha Gromov and Christina Sormani recently lead an IAS Emerging Topics Working Group on Scalar Curvature and Convergence to develop a list of conjectures in this area. We are inviting key participants from this workshop as well as leading experts on Ricci curvature to submit survey articles listing open problems in the areas listed above. All participants in the workshop, and other researchers whose work is directly concerned with the above topics, are invited to submit original research articles to the special issue. We are especially interested in progress towards the discussed conjectures. In addition to submitting an article we ask that if possible the authors record lectures for a Virtual Workshop on Ricci and Scalar Curvature and provide external links to the videos at the end of the abstract of your papers.

How to Submit an Article to the Issue.

There is no limit to the length of an article. Deadline for paper submission is August 01, 2020 although we may allow some later if a draft is submitted before that date along with a link to a video.

All articles will go through the standard peer reviewing procedure of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. The reviewing process starts once the paper is submitted and we will publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.

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