The Long-Time Behavior of the Ricci Tensor under the Ricci Flow
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-19
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We show that, given an immortal solution to the Ricci flow on a closed manifold with uniformly bounded curvature and diameter, the Ricci tensor goes to zero as t→∞.
We also show that if there exists an immortal solution on a closed 3-dimensional manifold such that the product of the curvature and the square of the diameter is uniformly bounded, then this solution must be of type III.
American Psychological Association (APA)
Hilaire, Christian. 2013. The Long-Time Behavior of the Ricci Tensor under the Ricci Flow. Geometry،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456065
Modern Language Association (MLA)
Hilaire, Christian. The Long-Time Behavior of the Ricci Tensor under the Ricci Flow. Geometry No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-456065
American Medical Association (AMA)
Hilaire, Christian. The Long-Time Behavior of the Ricci Tensor under the Ricci Flow. Geometry. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456065