5 citations · 16 across the 6 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.DG2007★ 4 cited
Evolution of convex lens-shaped networks under curve shortening flow
Oliver C. Schnürer, Abderrahim Azouani, Marc Georgi +8
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Further…
gr-qc2007★ 5 cited
Black Hole Initial Data with a Horizon of Prescribed Geometry
Brian Smith
The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic geometry. To do this, we use the paraboli…
math.DG2007★ 5 cited
Blow-up in the Parabolic Scalar Curvature Equation
Brian Smith
The \textit{parabolic scalar curvature equation} is a reaction-diffusion type equation on an -manifold , the time variable of which shall be denoted by . Given a funct…