The eternal solution to the cross curvature flow exists in 3-manifolds of negative sectional curvature
Year: 2019
Type: article
Abstract: Given a closed 3-manifold $M^3$ endowed with a radial symmetric metric of negative sectional curvature, we define the cross curvature flow on $M^3$; using the maximum principle theorem, we demonstrated that the solution to the cross curvature flow exists for all time and converges pointwise to a hyperbolic metric.
Source: TURKISH JOURNAL OF MATHEMATICS
DOI: 10.3906/mat-1812-90
Author: Wei-Hung LIAO
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2975845696