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20032026
most citedRotational symmetry of self-similar solutions to the Ricci flow

92 citations · 590 across the 51 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.DG2012

Isoperimetric and Weingarten surfaces in the Schwarzschild manifold

Simon Brendle, Michael Eichmair

We show that any star-shaped convex hypersurface with constant Weingarten curvature in the deSitter-Schwarzschild manifold is a sphere of symmetry. Moreover, we study an isoperimet…

math.DG2012★ 7 cited

Embedded minimal tori in S^3 and the Lawson conjecture

S. Brendle

We show that any embedded minimal torus in S^3 is congruent to the Clifford torus. This answers a question posed by H.B. Lawson, Jr., in 1970.

math.DG2012★ 92 cited

Rotational symmetry of self-similar solutions to the Ricci flow

S. Brendle

Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and κ-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling. This solv…