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**1 - 6**of**6**### On the Penrose inequality for dust null shells in the Minkowski spacetime of arbitrary dimension

- Class. Quantum Grav

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### SURFACES CONTRACTING WITH SPEED |A | 2

, 2006

"... Abstract. We show that strictly convex surfaces contracting with normal velocity equal to |A | 2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We describe our algorithm to find the main test function. ..."

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Abstract. We show that strictly convex surfaces contracting with normal velocity equal to |A | 2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We describe our algorithm to find the main test function.

### SURFACES CONTRACTING BY |A | 2

, 2004

"... Abstract. We show that strictly convex surfaces contracting with normal velocity equal to |A | 2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We indicate how we used a computer to find the main test function. ..."

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Abstract. We show that strictly convex surfaces contracting with normal velocity equal to |A | 2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We indicate how we used a computer to find the main test function.

### SURFACES EXPANDING BY THE INVERSE GAUSS CURVATURE FLOW

, 2006

"... Abstract. We show that strictly convex surfaces expanding by the inverse Gauß curvature flow converge to infinity in finite time. After appropriate rescaling, they converge to spheres. We describe the algorithm to find our main test function. ..."

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Abstract. We show that strictly convex surfaces expanding by the inverse Gauß curvature flow converge to infinity in finite time. After appropriate rescaling, they converge to spheres. We describe the algorithm to find our main test function.