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4 papers · 2 filters
Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime
Paul Allen, Lars Andersson, James Isenberg
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension and arbitrary co-d…
Manifolds with commuting Jacobi operators
M. Brozos-Vazquez, P. Gilkey
We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.
A note on uniformization of Riemann surfaces by Ricci flow
Xiuxiong Chen, Peng Lu, Gang Tian
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
Affine curvature homogeneous 3-dimensional Lorentz Manifolds
P. Gilkey, S. Nikcevic
We study a family of 3-dimensional Lorentz manifolds. Some members of the family are 0-curvature homogeneous, 1-affine curvature homogeneous, but not 1-curvature homogeneous. Some…