Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Short-time existence of solutions to the cross curvature flow on 3-manifolds

Author: John A. Buckland
Journal: Proc. Amer. Math. Soc. 134 (2006), 1803-1807
MSC (2000): Primary 53C44, 35K55
Published electronically: December 16, 2005
MathSciNet review: 2207496
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Given a compact 3-manifold with an initial Riemannian metric of positive (or negative) sectional curvature, we prove the short-time existence of a solution to the cross curvature flow. This is achieved using an idea first introduced by DeTurck (1983) in his work establishing the short-time existence of solutions to the Ricci flow.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 53C44, 35K55

Retrieve articles in all journals with MSC (2000): 53C44, 35K55

Additional Information

John A. Buckland
Affiliation: Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia

PII: S 0002-9939(05)08204-3
Keywords: Nonlinear evolution equations, curvature flow, short-time existence
Received by editor(s): January 31, 2005
Received by editor(s) in revised form: February 1, 2005
Published electronically: December 16, 2005
Additional Notes: This research was partially supported by an Australian Research Council Discovery grant entitled Geometric evolution equations and global effects of curvature
Communicated by: Richard A. Wentworth
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia